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Calculate the Surface Area of a Sphere

In this worksheet, students will calculate the surface area of spheres, given their radii or diameters.

'Calculate the Surface Area of a Sphere' 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

The formula for the surface area of a sphere, S, in terms of its radius, r, is:

S = 4πr2



Calculate the surface area of the sphere shown below in cm2 to 3 sig. figs.


 a sphere of diameter 8 cm


Diameter d = 8 cm

Radius r = 8 ÷ 2 = 4 cm


Surface Area =  4πr2 = 4 x π x 42  = 201.06.... ≈ 201 cm2 (3 s.f.)


It is a rather complicated formula to remember, so don't worry if you need to look back at this introduction to check it out! Simply click on the red button on the right of the screen.

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