Practice Volume of a Cylinder in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

The amount of three-dimensional space inside a cylinder, found by multiplying the area of the circular base by the height.

Imagine stacking hundreds of identical circular coins into a tall tower. Each coin is a thin circle with area \pi r^2, and stacking h units high gives you a cylinder. The volume is just the area of one coin times the height of the stack.

Example 1

easy
A cylinder has a radius of 4 cm and a height of 10 cm. Find its volume. Use \pi \approx 3.14.

Example 2

medium
A cylindrical water tank holds 2000\pi liters. Its height is 20 m. Find the radius of the tank.

Example 3

easy
A soup can has a diameter of 8 cm and a height of 12 cm. Find the volume. Leave your answer in terms of \pi.

Example 4

hard
Two cylinders have the same volume. Cylinder A has radius 3 and height 16. Cylinder B has height 4. Find the radius of Cylinder B.
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