Practice Surface Area of a Cylinder in Math

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

Quick Recap

The total area of the surface of a cylinder, consisting of two circular bases and a rectangular lateral surface that wraps around.

Imagine peeling the label off a can of soup. The label is a rectangle whose width is the circumference of the can (2\pi r) and whose height is the can's height (h). Add the two circular lids (top and bottom), and you have the total surface area.

Example 1

easy
A cylinder has radius 5 cm and height 8 cm. Find its total surface area. Leave your answer in terms of \pi.

Example 2

medium
A cylindrical can has a total surface area of 150\pi cm² and a radius of 5 cm. Find the height.

Example 3

medium
Find the total surface area of a cylinder with radius 4 cm and height 10 cm.

Example 4

easy
Find the lateral surface area only (not the bases) of a cylinder with radius 3 cm and height 7 cm. Leave your answer in terms of \pi.

Example 5

hard
A cylinder's height equals its diameter. If the total surface area is 108\pi cm², find the radius.
← Back to Surface Area of a Cylinder Worked Examples Formula Explained