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Examples

  • mathrm{Lauren’s:age:is:half:of:Joe’s:age.:Emma:is:four:years:older:than:Joe.:The:sum:of:Lauren,:Emma,:and:Joe’s:age:is:54.:How:old:is:Joe?}

  • mathrm{Kira:went:for:a:drive:in:her:new:car.:She:drove:for:142.5:miles:at:a:speed:of:57:mph.:For:how:many:hours:did:she:drive?}

  • mathrm{Bob’s:age:is:twice:that:of:Barry’s.:Five:years:ago,:Bob:was:three:times:older:than:Barry.:Find:the:age:of:both.}

  • mathrm{Two:men:who:are:traveling:in:opposite:directions:at:the:rate:of:18:and:22:mph:respectively:started:at:the:same:time:at:the:same:place.:In:how:many:hours:will:they:be:250:apart?}

  • mathrm{If:2:tacos:and:3:drinks:cost:12:and:3:tacos:and:2:drinks:cost:13:how:much:does:a:taco:cost?}

Frequently Asked Questions (FAQ)

  • How do you solve word problems?

  • To solve word problems start by reading the problem carefully and understanding what it’s asking. Try underlining or highlighting key information, such as numbers and key words that indicate what operation is needed to perform. Translate the problem into mathematical expressions or equations, and use the information and equations generated to solve for the answer.
  • How do you identify word problems in math?

  • Word problems in math can be identified by the use of language that describes a situation or scenario. Word problems often use words and phrases which indicate that performing calculations is needed to find a solution. Additionally, word problems will often include specific information such as numbers, measurements, and units that needed to be used to solve the problem.
  • Is there a calculator that can solve word problems?

  • Symbolab is the best calculator for solving a wide range of word problems, including age problems, distance problems, cost problems, investments problems, number problems, and percent problems.
  • What is an age problem?

  • An age problem is a type of word problem in math that involves calculating the age of one or more people at a specific point in time. These problems often use phrases such as «x years ago,» «in y years,» or «y years later,» which indicate that the problem is related to time and age.

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Did you know that more and more students are seeking word problem help every semester? It looks like math word problems are posing serious problems to students of all ages. It’s not that these problems are difficult; it’s just that they are difficult to comprehend. Most students are perfectly capable of resolving a typical mathematical problem involving an equation or various operators.

However, when it comes to a word problem, things get more complicated. And keep in mind that there are even system of equations word problems. To help students overcome these difficulties, academic writing companies have started to advertise the math word problem solver. Let’s see what this solver really is, why you need one, and how the solver can help you.

Math Word Problem Solver Calculator Online

Who can answer my math word problems? Where can I find a math word problem solver app? We get these questions quite frequently, and this shows us that many students are struggling with this kind of problems. Truth be told, to solve even complex word math problems, you need to pay attention to specific word problem key words and develop one or more formulas that will help you solve the problem. If you don’t know how to do word problems, here is a quick guide:

  1. Read the problem thoroughly and pay attention to all the facts. Be careful to the units of measurement!
  2. Understand what the problem is about. What do you need to calculate?
  3. Trim the math word problem and get rid of all the excess information.
  4. Optional step: create a diagram that will help you visualize the problem.
  5. Write the formula or formulas. These problems are always solved using common formulas; you just need to find them.
  6. Use the formulas to calculate the result for the word problem.
  7. Check the result to make sure it is correct.

It may sound like an easy thing to do, but be aware that fraction word problems and division word problems are not easy to solve. But you can get some help!

Ever Heard of a Word Problem Solver?

If you’ve been searching online for the correct solution to a ratio and proportion word problem or a geometry word problem, you may have come across a service known as the “math word problem solver.” But what is it? How does it work?

The first thing to keep in mind is that the solver is not a word problem calculator! Even if you see the term “word problem solver calculator,” this is not a computer program or algorithm. It is an actual person who reads the problem and solves it for you (or helps you solve it on your own). For instance, each algebra word problem solver of ours is a math whiz. All our experts have degrees and are PhD-qualified. If you are looking for a website that answers math problems, you’ve found the best one! Here, all problems are solved by real people with a strong background in mathematics.

Can You Solve My Math Word Problems?

So, how do you plan to solve my word problems quickly? Good question! It doesn’t matter how difficult the problem may be; we always find the correct solution. Here is how it works:

  1. You contact us with your problem. It can be anything, including a difficult geometry word problem.
  2. We assign the most qualified word problem math solver to your problem.
  3. You pay for our solver’s services using our 100% secure payment methods.
  4. You get the solution. And no, you don’t get just the final result. You also get ample explanations for every step of the solution.

After getting a solution from our professionals and reading it thoroughly, you will be able to solve that type of problem on your own. And this is a guarantee! After all, we are here to help students learn and improve their grades.

The Word Problem Solver Math Students Need

Our math experts have been carefully selected by our seasoned team. All of them had to pass rigorous tests in order to get access to our clients. In other words, our experts are former academicians and teachers with extensive experience in math problem solving. They can help you solve any problems, including linear word problems. Here are just some of the subjects we can help you with right now:

  • Arithmetic
  • Calculus
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  • Statistics
  • Multivariable Calculus
  • And many more…

Each college algebra word problem solver we employ uses best practices and knows exactly what high school and college professors are looking for. All the word problem practice answers we provide to students are written in a way that almost guarantees a top grade. Yes, this also includes inequality word problems. The reason we are the best academic services company on the Internet is our ability to provide accurate solutions and detailed explanations for every math problem.

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This is not just another website that answers math problems. This is a place where you come to get solutions to difficult problems and learn how to solve these problems on your own. Get the help you need right now and ace those math tests!

2 number Word Problems

This calculator handles word problems in the format below:
* Two numbers have a sum of 70 and a product of 1189 What are the numbers?
* Two numbers have a sum of 70. Their difference 32

Calculator

2 Unknown Word Problems

Solves a word problem based on two unknown variables

Calculator

Age Difference

Determines the ages for an age difference word problem.

Calculator

Age Word Problems

Determines age in age word problems

Calculator

Angle of Elevation

Solves angle of elevation word problems

Calculator

Break Even

Given a fixed cost, variable cost, and revenue function or value, this calculates the break-even point

Calculator

Coin Combinations

Given a selection of coins and an amount, this determines the least amount of coins needed to reach that total.

Calculator · Watch the Video

Coin Total Word Problems

This word problem lesson solves for a quantity of two coins totaling a certain value with a certain amount more or less of one coin than another

Calculator

Coin Word Problems

This word problem lesson solves for a quantity of two coins totaling a certain value

Calculator

Collinear Points that form Unique Lines

Solves the word problem, how many lines can be formed from (n) points no 3 of which are collinear.

Calculator · Watch the Video

Compare Raises

Given two people with a salary and annual raise amount, this determines how long it takes for the person with the lower salary to catch the person with the higher salary.

Calculator

Consecutive Integer Word Problems

Calculates the word problem for what two consecutive integers, if summed up or multiplied together, equal a number entered.

Calculator · Watch the Video

Cost Revenue Profit

Given a total cost, variable cost, revenue amount, and profit unit measurement, this calculates profit for each profit unit

Calculator

Decay

Determines decay based on an initial mass and decay percentage and time.

Calculator

Distance Catch Up

Calculates the amount of time that it takes for a person traveling at one speed to catch a person traveling at another speed when one person leaves at a later time.

Calculator

Distance Rate and Time

Solves for distance, rate, or time in the equation d=rt based on 2 of the 3 variables being known.

Calculator · Watch the Video

Find two numbers word problems

Given two numbers with a sum of s where one number is n greater than another, this calculator determines both numbers.

Calculator

Inclusive Number Word Problems

Given an integer A and an integer B, this calculates the following inclusive word problem questions:
1) The Average of all numbers inclusive from A to B
2) The Count of all numbers inclusive from A to B
3) The Sum of all numbers inclusive from A to B

Calculator · Watch the Video

Map Scale

Solves map scale problems based on unit measurements

Calculator · Watch the Video

Markup Markdown

Given the 3 items of a markup word problem, cost, markup percentage, and sale price, this solves for any one of the three given two of the items. This works as a markup calculator, markdown calculator.

Calculator · Watch the Video

Numbers Word Problems

Solves various basic math and algebra word problems with numbers

Calculator

Overtime

Solves overtime wage problems

Calculator

Percent Off Problem

Given the 3 items of a percent word problem, Reduced Price, percent off, and full price, this solves for any one of the three given two of the items.

Calculator · Watch the Video

Percentage of the Pie Word Problem

This takes two or three fractions of ownership in some good or object, and figures out what remaining fraction is left over.

Calculator

Percentage Word Problems

Solves percentage word problems

Calculator

Population Doubling Time

Determines population growth based on a doubling time.

Calculator

Population Growth

Determines population growth based on an exponential growth model.

Calculator · Watch the Video

Product of Consecutive Numbers

Finds the product of (n) consecutive integers, even or odd as well. Examples include:
product of 2 consecutive integers
product of 2 consecutive numbers
product of 2 consecutive even integers
product of 2 consecutive odd integers
product of 2 consecutive even numbers
product of 2 consecutive odd numbers
product of two consecutive integers
product of two consecutive odd integers
product of two consecutive even integers
product of two consecutive numbers
product of two consecutive odd numbers
product of two consecutive even numbers
product of 3 consecutive integers
product of 3 consecutive numbers
product of 3 consecutive even integers
product of 3 consecutive odd integers
product of 3 consecutive even numbers
product of 3 consecutive odd numbers
product of three consecutive integers
product of three consecutive odd integers
product of three consecutive even integers
product of three consecutive numbers
product of three consecutive odd numbers
product of three consecutive even numbers
product of 4 consecutive integers
product of 4 consecutive numbers
product of 4 consecutive even integers
product of 4 consecutive odd integers
product of 4 consecutive even numbers
product of 4 consecutive odd numbers
product of four consecutive integers
product of four consecutive odd integers
product of four consecutive even integers
product of four consecutive numbers
product of four consecutive odd numbers
product of four consecutive even numbers
product of 5 consecutive integers
product of 5 consecutive numbers
product of 5 consecutive even integers
product of 5 consecutive odd integers
product of 5 consecutive even numbers
product of 5 consecutive odd numbers
product of five consecutive integers
product of five consecutive odd integers
product of five consecutive even integers
product of five consecutive numbers
product of five consecutive odd numbers
product of five consecutive even numbers

Calculator

Ratio Word Problems

Solves a ratio word problem using a given ratio of 2 items in proportion to a whole number.

Calculator

Rebound Ratio

Calculates a total downward distance traveled given an initial height of a drop and a rebound ratio percentage

Calculator · Watch the Video

Slope Word Problems

Solves slope word problems

Calculator

Solution Mixture

Determines a necessary amount of a Solution given two solution percentages and 1 solution amount.

Calculator

Split Fund Interest

Given an initial principal amount, interest rate on Fund 1, interest rate on Fund 2, and a total interest paid, calculates the amount invested in each fund.

Calculator

Sum of Consecutive Numbers

Finds the sum of (n) consecutive integers, even or odd as well. Examples include:
sum of 2 consecutive integers
sum of 2 consecutive numbers
sum of 2 consecutive even integers
sum of 2 consecutive odd integers
sum of 2 consecutive even numbers
sum of 2 consecutive odd numbers
sum of two consecutive integers
sum of two consecutive odd integers
sum of two consecutive even integers
sum of two consecutive numbers
sum of two consecutive odd numbers
sum of two consecutive even numbers
sum of 3 consecutive integers
sum of 3 consecutive numbers
sum of 3 consecutive even integers
sum of 3 consecutive odd integers
sum of 3 consecutive even numbers
sum of 3 consecutive odd numbers
sum of three consecutive integers
sum of three consecutive odd integers
sum of three consecutive even integers
sum of three consecutive numbers
sum of three consecutive odd numbers
sum of three consecutive even numbers
sum of 4 consecutive integers
sum of 4 consecutive numbers
sum of 4 consecutive even integers
sum of 4 consecutive odd integers
sum of 4 consecutive even numbers
sum of 4 consecutive odd numbers
sum of four consecutive integers
sum of four consecutive odd integers
sum of four consecutive even integers
sum of four consecutive numbers
sum of four consecutive odd numbers
sum of four consecutive even numbers
sum of 5 consecutive integers
sum of 5 consecutive numbers
sum of 5 consecutive even integers
sum of 5 consecutive odd integers
sum of 5 consecutive even numbers
sum of 5 consecutive odd numbers
sum of five consecutive integers
sum of five consecutive odd integers
sum of five consecutive even integers
sum of five consecutive numbers
sum of five consecutive odd numbers
sum of five consecutive even numbers

Calculator · Watch the Video

Sum of Five Consecutive Integers

Finds five consecutive integers, if applicable, who have a sum equal to a number.

Sum of 5 consecutive integers

Calculator · Watch the Video

Sum of Four Consecutive Integers

Finds four consecutive integers, if applicable, who have a sum equal to a number.

Sum of 4 consecutive integers

Calculator · Watch the Video

Sum of the First (n) Numbers

Determines the sum of the first (n)
* Whole Numbers
* Natural Numbers
* Even Numbers
* Odd Numbers
* Square Numbers
* Cube Numbers
* Fourth Power Numbers

Calculator · Watch the Video

Sum of Three Consecutive Integers

Finds three consecutive integers, if applicable, who have a sum equal to a number.

Sum of 3 consecutive integers

Calculator · Watch the Video

Sun Shadow

This solves for various components and scenarios of the sun shadow problem

Calculator

Unit Savings

A discount and savings word problem using 2 people and full prices versus discount prices.

Calculator

Work Word Problems

Given Person or Object A doing a job in (r) units of time and Person or Object B doing a job in (s) units of time, this calculates how long it would take if they combined to do the job.

Calculator · Watch the Video

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Home > Word Problems calculators

AtoZmath.com — Homework help (with all solution steps)
Educational Level Secondary school, High school and College
Program Purpose Provide step by step solutions of your problems using online calculators (online solvers)
Problem Source Your textbook, etc


Word Problems with example
1.

Arithmetic Progression

1. For given arithemetic progression series 1,4,7,10,13 ,… find 10 th term and addition of first 10 th terms.

Here first term a = 1,
d = 4 — 1 = 3
We know that, f(n) = a + (n — 1)d
f(10) = 1 + (10 — 1)(3)
= 1 + (27)
= 28
We know that, S_n = n/2 [2a + (n — 1)d]
∴ S_10 = 10/2 [2(1) + (10 — 1)(3)]
= 5 [2 + (27)]
= 5 [29]
= 145
Hence, 10th Term Of The Given Series is 28 And Sum of First 10th Term is 145

2. For arithemetic progression addition of 3 terms is 27 and their multiplication is 648, then that nos.

3. Find the sum of all natural nos between 100 to 200 and which are not divisible by 4.

4. For arithemetic progression, addition of three terms is 51 and multiplication of end terms is 273, then find that nos.

5. For arithemetic progression, addition of 4 terms is 4 and addition of multiplication of end terms and multiplication of middle terms is -38, then find that nos.

2.

Geometric Progression

1. For given geometric progression series 3,6,12,24,48,… find 10 th term and addition of first 10 th terms.

Here a = 3,
r = 6 / 3 = 2
We know that, a_n = a * r^(n-1)
a_10 = 3 * (2)^(10 — 1)
= 3 * (512)
= 1536
We know that, S_n = a (r^n — 1)/(r — 1)
∴ S_10 = 3 * ((2)^10 — 1) / (2 — 1)
=> S_10 = 3 * (1024 — 1) / 1
=> S_10 = 3 * 1023 / 1
=> S_10 = 3069
Hence, 10th term of the given series is 1536 and sum of first 10th term is 3069

2. For geometric progression addition of 3 terms is 26 and their multiplication is 216, then that nos.

3. For geometric progression multiplication of 5 terms is 1 and 5th term is 81 times then the 1st term.

4. Arithmetic mean of two no is 13 and geometric mean is 12, then find that nos.

5. Find 6 geometric mean between 1 and 256.

6. Find 12 + 22 + 32 + … + 102

7. Find 13 + 23 + 33 + … 10 terms

 
3.

Simple Interest

1. Find the simple intereset on Rs. 730 for 184 days at 25/4 % per annum.

Here P = Rs. 730 , R = 25/4 % and Time = 184 days = 184 / 365 years
S.I. = P*R*N/100 = ( 730 * 25/4 * 184 /365) / 100 = 23
Simple Interest is Rs. 23 .

2. The interest on a certain amount of money at 8% per year for a period of 4 years is Rs 512. Find the sum of money.

3. A sum of money lent at simple interest amounts to Rs 1596 in 3/2 years and to 1860 in 5/2 years. Find the sum & the rate of interest.

4. A sum was put at simple interest at a certain rate for 2 years. Had it been put at 3 % highere rate, it whould have fetched Rs. 300 more. Find the sum.

5. A shopkeeper borrowed Rs. 20000 from two money lenders. For one loan he paid 12% and for the other 14% per annum. After one year, he paid Rs. 2560 as interest. How much did he borrow at each rate ?

6. At what rate percent per annum will sum of money double in 8 years?

7. Rajeev deposited money in the post office which is doubled in 20 years at a simple rate of interest. In how many years will the original sum triple itself?

4.

Compound Interest

1. Calculate Compound Interest and amount on Rs 4500 at 10 % per annum in 3 years.

Here P = Rs. 4500 , R = 10 %, N = 3 yrs.
A = P (1 + R/100)^N
= 4500 * ( 1 + 10 / 100 ) ^ 3
= 4500 * ( 110 / 100 ) ^ 3
= 5989.5

Therefore, C.I. = Rs. ( 5989.5 — 4500 ) = Rs. 1489.5 .

2. What sum of money becomes Rs. 9261 in 3 years at 5% per annum, compounded annually ?

3. A sum of money amounts to Rs 6690 after 3 years and to Rs 10035 after 6 years on compound interest. Calculate the sum of money.

4. The difference between the compound interest and the simple interest on a certain sum at 10 % per annum for 2 years is Rs. 52 . Find the sum.

5. If the compound interest on a certain sum for 3 years at 10 % per annum be Rs. 331, what would be the simple interest ?

6. A sum of money 2 times itself at compound interest in 15 years. In how many years, it will become 8 times of itself ?

 
5.

HCF-LCM Word Problem

1. The HCF of two nos is 14 and their LCM is 11592 . If one of the nos is 504 , find the other?

Other no = ( HCF * LCM ) / Given No = ( 14 * 11592 ) / 504 = 322 .

2. Find the largest no which can exactly divide 513 , 783 , 1107

3. Find the smallest no exactly divisible by 12 , 15 , 20 and 27 .

4. Find the least no which when divided by 6 , 7 , 8 , 9 , 12 leaves the same remainder 2 in each case.

5. Find the largest no which divides 77 , 147 , 252 to leave the same remainder in each case.

6. The greatest no that will divide 290 , 460 , 552 leaving respectively 4 , 5 , 6 as remainder.

7. LCM of two nos is 14 times their HCF. The sum of LCM and HCF is 600 . If one no is 280 , then find the other no ?

6.

Installment

1. A briefcase is available for Rs 440 cash or for Rs 200 cash down payment and Rs 244 to be paid after 1 months. Find the rate of intereset charged under the installment plan.

Cash Price = 440
Down Payemnt = 200
Remaining Balance = 440 — 200 = 240
The installment to be paid at the end of 1 months = 244
Therefore the interest charged on Rs 240, for a period of 1 months = Rs 244 — Rs 240 = 4
If R % is the rate of interest per annum, then
(240 × R × 1) / (100 × 12) = 4
R = 20
Thus, the rate of interest charged under the installment plan is = 20 per annum

2. A washing machine is available at Rs 6400 cash or for Rs 1400 cash down payment and 5 monthly installments of Rs 1030 each. Calculate the rate of interest charged under the instalment plan.

3. A computer is sold by a company for Rs 19200 cash or for Rs 4800 cash down payment together with 5 equal monthly installments. If the rate of interest charged by the company is 12% per annum, find each installment.

4. A man borrows money from a finance company and has to pay it back in 2 equal half yearly installments of Rs 4945 each. If the interest is charged by the finance company at the rate of 15 % per annum compounded as installment plan, find the principal and the total interest paid.

5. Ram borrowed a sum of money and returned it in 3 equal quarterly installments of Rs 17576 each. Find the sum borrowed, if the rate of interest charged was 16 % per annum compounded as installment plan. Find also the total interest charged.

 
7.

Percentage

1. A number is 20 % of 80 .

20 % of 80 = ( 20 / 100 × 80 ) = 16 .

2. A’s annual income is increased from Rs 60000 to Rs 75000 . Find the percentage of increase in A’s income.

3. In a school of 225 boys, 15 were absent then what percent were present ?

4. A earns 25 % more than B. By what percent does B earn less then A.

5. A reduction of 20 % in the price of basmati rice would enable a man to buy 2 kg of rice more for Rs 250. Find the reduced price per kg.

6. Find the selling price of an item, of which the printed price is Rs 25000 if the successive discounts given are 10 %, 8 % and 4 %.

7. The successive discount of 10 % and 5 % are given on the purchased Computer. If the final price of the Computer is Rs 10260, then find the printed price of the Computer.

8.

Profit Loss Discount

1.Find selling price when cost price = Rs. 50 , Loss/Gain = 10 % .

C.P. = Rs. 50 , Gain = 10 %
S.P. = C.P. × ( 100 + Gain% ) / 100 = 50 × ( 100 + 10 ) / 100 = 55 Rs.

C.P. = Rs. 50 , Loss = 10 %
S.P. = C.P. × ( 100 — Loss% ) / 100 = 50 × ( 100 — 10 ) / 100 = 45 Rs.

2. Find cost price when selling price = 55 , Loss/Gain = 10 %

3. Find Loss/Gain % when cost price = 50 and selling price = 55

4. By selling an article for Rs 110 a man loses 12 %. For how much should he sell it to gain 8 %.

5. A man sells two houses for Rs 536850 each. On one he gains and on the other he loses 5 %. Find his gain or loss % on the whole transaction.

6. If selling price of 10 articles is the same as the cost price of 12 articles, find the gain %.

7. If the marked price of an article is Rs. 380 and a discount of 5 % is given on it, what is the selling price ?

8. A cycle dealer marks his goods 25 % above his cost price and allows a discount of 8 % on it. Find his gain percent.

9. Successive discounts of 20 % and 10 % equivalent to a single discount of how many percent?

 
9.

Statistics Word Problem

1. The mean of 10 observations is 12.5 . While calculating the mean
one observation was by mistake taken as (-8) instead of (+8) . Find the correct
mean.


Here Mean X = 12.5
and n=10

`Sigma`(X) = X × n = 12.5 × 10 = 125

`:.` the correct sum `Sigma`(X) = 125 — (Wrong Observation) + (Correct Observation)

= 125 — (-8) + (8) = 141 .

`:.` correct mean = correct
sum
/ n = 141 /
10 = 14.1

2. The sum of 15 observation is 343 . If we remove two
observation 18 and 26 , then find out the mean of remaining
observations.

Here `Sigma`(X) = 343 and n= 15
If we remove two observation then 13 observation left.
Sum of 13 observation `Sigma`(X’) = 343 — ( ( 18 ) + ( 26 ) ) = 299
Then the mean of remaining 13 observations = `Sigma`(X’) / n = 299 / 13 = 23.

and many more…

 
 








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Test your knowledge and try to solve all of our volume word problems!

Volume of Cubes and Rectangular Prisms

A water tank that is rectangular in shape is 15 feet long,
10 feet wide, and 6 feet deep. What is the volume of the water tank?

Ship container has a length of 40 feet, width 8 feet, and 9.6 feet in height.
Find the volume of the container in cubic feet.

A building cube is a rectangular prism with the same measurement for length, width, and height. If a cube is 8 inches tall, what is its volume?

Harry will paint the walls and ceiling of his room that is 16 feet wide by 14 feet long by 8 feet high. What is the surface area of the room?

In the store, jewelry is in a glass display case in the shape of a rectangular prism.
It is 16 inches long, 11 inches high, and has a volume of 704 cubic inches.
Find the width of the rectangular display case.

Alexa was determining the dimensions of her cereal box Friday morning.
She read on the box that the total volume was 336 cubic inches.
Alexa found it was 3 inches wide and 14 inches high, what was the length?

Volume of Cylinders

Use the approximate of value of π, that is 3.14 and round your answer to the nearest tenth if necessary.

Chef Mr. Yummy has a very large soup pot shaped like a cylinder that has a height of 14 inches and a radius of 8 inches. How much soup can Mr. Yummy’s soup pot hold?

Emma says that the volume of a cylindrical vase that has a diameter of 8 cm and a height of 14 cm is about 2,813.44 cm³. Is Emma correct?

The tallest cylindrical aquarium in the world is located in Moscow.
Its height is 66.6 feet deep and has a radius of 9.9 feet.
Find the volume of the tank.

African Bongo Drum has a diameter of 9 inches and is 18 inches deep.
Find the volume of this African drum.

If a 5-gallon keg of Pepsi has 25 inches tall and 8.6 inches in diameter,
what is the volume of this keg in cubic feet?

A cylindrical container with a radius of 10 feet and a height of 5 feet is filled with water.
If the total mass of the filled container is 4 kg, what is the mass of the empty container?

The volume of a cylinder is 441 cubic inches. The height of the cylinder is 9 in.
Find the radius of the cylinder to the nearest tenth of an inch.

A right circular cylinder has a volume of 628 cubic inches and a height of 8 inches.
What is the radius of the cylinder?

Volume of Composite Figures

The first rectangular prism has a base with a length of 25, a width of 9, and a height of 12. The second prism has a square base with a side of 15 and volume equal to the first prism. The third prism has a height equal to the second prism and a base area equal to the first prism. Find the volume of all three prisms together.

Using blocks that are 1 cubic foot, Mr.Freeman builds the stage base of 3 blocks wide and 4 blocks long. If he continues to build the stage up, in height, how many more layers will she need to create a stage with a volume of 96 cubic feet?

A cylindrical hole with a diameter of 8 inches is bored through a cub 10 inches on a side. Find the surface area and volume of this solid casting.

A cube of side 8 cm is cut into 2 cm cubes.
What is the ratio of the surface areas of the original cubes and cut-out cubes?

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