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Volumes of Cones

In this worksheet, students calculate the volume of cones, given their height and base diameter.

'Volumes of Cones' 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 volume of a cone, V, in terms of its base radius, r, is:

This is similar to the formula for the volume of a cylinder, but remember to divide by 3.

 

Example

Calculate the volume of the cone shown below in cm3 to 3 significant figures.

 

 

 

Answer

Diameter d = 8 cm

Radius r = 8 ÷ 2 = 4 cm

Height h = 10 cm

Volume = 1/3πr2h = π x 42 x 10 ÷ 3 = 167.55.... ≈ 168 cm3 (3 s.f.)

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