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Volumes of Cylinders

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

'Volumes of Cylinders' worksheet

Key stage:  KS 3

Curriculum topic:   Geometry and Measures

Curriculum subtopic:   Use 3D Shape Knowledge to Solve Problems

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

A cylinder can be considered as lots of circular discs stacked one above the other.

 

 

If the area of each circular disc is A and the height of the stack is h, then the volume = Ah.

 

 

Remember that the area of a circle with radius r = πr2

We can write this instead of A, so the volume of a cylinder with radius r and height h = πr2h

 

 

Example

Find the volume of this cylinder in cm3 to 3 significant figures.

 

Answer

Diameter = 6 cm

Radius = 6 ÷ 2 = 3 cm

Height = 12 cm

 

Volume = πr2h = π × 32 × 12 = 339.29 ≈ 339 cm3 (3 s.f.)

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