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Surface Areas of Spheres

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

'Surface Areas of Spheres' worksheet

Key stage:  KS 3

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Use 3D Shape Knowledge to Solve Problems

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.



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.)


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