Pre-Algebra : Volume of a Cylinder

Study concepts, example questions & explanations for Pre-Algebra

varsity tutors app store varsity tutors android store

Example Questions

← Previous 1

Example Question #1 : Volume Of A Cylinder

A cylinder has a radius of 4 inches and a height of 5 inches. What is the volume of the cylinder?

Possible Answers:

Correct answer:

Explanation:

The formula for the volume of the cylinder is , where  is the radius and  is the height. Plug in the lengths we are given to solve:

The cylinder has a volume of .

Example Question #2 : Volume Of A Cylinder

What is the volume of a cylinder with a height of 20 and a radius of 10?

Possible Answers:

Correct answer:

Explanation:

The volume of a cylinder is given by the formula:



with  and , the equation is:



Thus, , or 

Example Question #3 : Volume Of A Cylinder

What is the volume of a cylinder with a diameter equal to  and height equal to ?

Possible Answers:

Correct answer:

Explanation:

If the diameter is 6, then the radius is half of 6, or 3.

Plug this radius into the formula for the volume of a cylinder:

Example Question #4 : Volume Of A Cylinder

Find the volume of the cylinder.

Jared buys a can of chicken noodle soup for dinner. The height of the can is . The radius of the can is . What is the volume of the can?

Possible Answers:

Correct answer:

Explanation:

The correct answer to the question is .

We know that a can is a cylinder. We also know that the formula for the volume of a cylinder is .

Plug in the numbers we are given:

Once we multiply these numbers, we get .

The unit for our answer is  since we are solving a volume problem.

Example Question #5 : Volume Of A Cylinder

Find the volume of a cylinder that has a radius of 2 inches and a height of 10 inches.

Possible Answers:

Correct answer:

Explanation:

Radius = 2 Inches

Height = 10

Example Question #6 : Volume Of A Cylinder

Find the volume of a cylinder with a diameter of 1 and a height of 2.

Possible Answers:

Correct answer:

Explanation:

Write the formula for the volume of a cylinder.

Find the radius by dividing the diameter by 2.

Example Question #7 : Volume Of A Cylinder

The area of the circular base of a cylinder is .  The height of the cylinder is .  What is the volume of the cylinder?

Possible Answers:

Correct answer:

Explanation:

Write the formula to find the volume of the cylinder.

The  term represents the area of the circular base.  Multiply the given area and the height to obtain the area.

Example Question #8 : Volume Of A Cylinder

Find the volume of a cylinder if the radius is 2 and the height is 12.

Possible Answers:

Correct answer:

Explanation:

Write the volume formula for a cylinder.

Substitute the dimensions.

Example Question #9 : Volume Of A Cylinder

Find the volume of a cylinder with a radius and height of .

Possible Answers:

Correct answer:

Explanation:

Write the formula for the volume of a cylinder.

Substitute the dimensions.

Example Question #10 : Volume Of A Cylinder

Find the volume of the cylinder if the base has a circumference of  and the height is 4.

Possible Answers:

Correct answer:

Explanation:

The base of a cylinder is a circle.  Write the circumference formula.

Substitute the circumference and find the radius.

Write the formula to find the volume for cylinders.

Substitute the dimensions.

← Previous 1
Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: