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Find the Surface Area of a Cylinder

In this worksheet, students will calculate the surface area of cylinders given their diameter and height.

'Find the Surface Area of a Cylinder' worksheet

Key stage:  KS 3

Year:  Year 9 Maths worksheets

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Use 3D Shape Knowledge to Solve Problems

Popular topics:   Area worksheets, Geometry worksheets

Difficulty level:  

Worksheet Overview

Look at this cylinder.


a cylinder


Its net is made up of two circles and a rectangle.


 net of a cylinder




In the two formulae below, r is the radius and d is the diameter.


The area of a circle is πr

The circumference of a circle is πd


Look at these diagrams to see that the base of the rectangle has the same length as the circumference of the circle. 


the surface area of a cylinder



So the surface area is the area of the two circles plus the area of the rectangle.


The area of the two circles = 2πr2

The area of the rectangle =  πdh  or we can write 2πrh (because the diameter is the radius x 2)

 Surface Area = 2πr2 + πdh = 2πr2 + 2πrh



Find the surface area of this cylinder in cm2 to 3 significant figures.


a cylinder



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.)


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