Formula Area of a Cylinder

How to Find a Cylinder's Area

This page examines the properties of a right circular cylinder. A cylinder has a radius (r) and a height (h) (see picture below).

This shape is similar to a can. The surface area is the area of the top and bottom circles (which are the same), and the area of the rectangle (label that wraps around the can)

Picture of Right Circular Cylinder

The Cylinder Area Formula

Picture of Formula of Area of Cylinder

The picture below illustrates how the formula for the area of a cylinder is simply the sum of the areas of the top and bottom circles plus the area of a rectangle. This rectangle is what the cylinder would look like if we 'unraveled' it.

Area Formula Tin Can Connection

Below is a picture of the general formula for area

Explanation of formula

Practice Problems on Area of a Cylinder

Problem 1

What is the area of the cylinder with a radius of 2 and a height of 6?

Area of Cylinder Example1

Use the formula for the area of a cylinder as shown below.

answer area
Problem 2

What is the area of the cylinder with a radius of 3 and a height of 5?

Area of Cylinder Example2
Problem 3

What is the area of the cylinder with a radius of 6 and a height of 7?

Area of Cylinder Example 3
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