  # Surface Area of Cylinders

In this worksheet, students calculate the surface area of cylinders given their diameter and height. Key stage:  KS 3

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Use 3D Shape Knowledge to Solve Problems

Difficulty level:   #### Worksheet Overview

Look at this cylinder. It's net is made up of two circles and a rectangle. Remember that:

the Area of a circle of radius r = πr2

the Circumference of a circle of diameter d = πd

Look at these diagrams to see that the base of the rectangle has the same length as the circumference of the circle.  So the Surface Area = 2πr2 + πdh = 2πr2 + 2πrh

Example

Find the surface area of this cylinder in cm2 to 3 significant figures. Diameter = 6 cm

Radius = 6 ÷ 2 = 3 cm

Height = 12 cm

Surface Area = 2πr2 + 2πrh  = 2 x π x 32 + 2 x π x 3 x 12 = 282.74 ≈ 283 cm2 (3 s.f.)

### What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started 