How to find the volume of a cylinder

Practice Questions

PSAT Math › How to find the volume of a cylinder

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1

What is the volume of a cylinder with a diameter of 13 inches and a height of 27.5 inches?

2

Claire's cylindrical water bottle is 9 inches tall and has a diameter of 6 inches. How many cubic inches of water will her bottle hold?

3

A water tank takes the shape of a closed cylinder whose exterior has height 40 feet and a base with radius 12 feet; the tank is six inches thick throughout. To the nearest hundred, how many cubic feet of water does the tank hold?

4

A hollow prism has a base 12 in x 13 in and a height of 42 in. A closed, cylindrical can is placed in the prism. The remainder of the prism is then filled with gel, surrounding the can. The thickness of the can is negligible. Its diameter is 9 in and its height is one-fourth that of the prism. The can has a mass of 1.5 g per in3, and the gel has a mass of 2.2 g per in3. What is the approximate overall mass of the contents of the prism?

5

A hollow prism has a base 5 in x 6 in and a height of 10 in. A closed, cylindrical can is placed in the prism. The remainder of the prism is then filled with gel around the cylinder. The thickness of the can is negligible. Its diameter is 4 in and its height is half that of the prism. What is the approximate volume of gel needed to fill the prism?

6

A metal cylindrical brick has a height of . The area of the top is . A circular hole with a radius of is centered and drilled half-way down the brick. What is the volume of the resulting shape?

7

A cylinder has a volume of 20. If the radius doubles, what is the new volume?

8

A circle has a circumference of 4\pi and it is used as the base of a cylinder. The cylinder has a surface area of 16\pi. Find the volume of the cylinder.

9

What is the volume of a circular cylinder whose height is 8 cm and has a diameter of 4 cm?

10

Barrel

The above diagram is one of a cylindrical tub. The company wants to make a cylindrical tub with four times the volume, but whose base is only three times the radius. How high should this new tub be?

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