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Cylinder Volume Exploration Worksheet

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Cylinder Volume Exploration Worksheet

Explore how a cylinder’s radius and height affect its volume. Use V = πr²h and π = 3.14 unless a question says otherwise. Include units and show your working. Round answers to 2 decimal places where needed.

Build the volume idea

A cylinder can be thought of as identical circular layers stacked to its height. The area of one circular layer is πr²; multiplying by the height gives the cylinder’s volume.

1.A cylinder has radius 4 cm and height 7 cm. Write the formula you will use, then calculate its volume.

2.A cylindrical drink can has diameter 8 cm and height 12 cm. What is its volume? Remember to find the radius first.

3.True or false? If the radius of a cylinder is doubled while its height stays the same, its volume doubles. Explain your choice.

Compare the changes

Use the cylinder volume formula to investigate how changing dimensions changes volume. Compare the result with the original cylinder.

4.Cylinder A has radius 3 cm and height 5 cm. Cylinder B has the same radius but twice the height. Find both volumes and state the ratio of A’s volume to B’s volume in simplest form.

5.Cylinder C has radius 2 cm and height 9 cm. Cylinder D has twice the radius and the same height. How many times as large is D’s volume as C’s? Show how the radius change affects the volume.

6.A cylinder’s radius is multiplied by 3 and its height is multiplied by 2. By what factor does its volume change? Give a reason.

7.A cylindrical rainwater barrel has radius 0.5 m and height 1.2 m. Calculate its capacity in cubic metres, then convert it to litres. (1 m³ = 1,000 L.)

8.A cylinder has volume 314 cm³ and radius 5 cm. Find its height using π = 3.14.

9.Choose the correct statement about a cylinder with radius 6 cm and height 2 cm compared with one with radius 2 cm and height 6 cm.

They have equal volumes.
The first cylinder has 3 times the volume.
The first cylinder has 9 times the volume.
The second cylinder has 3 times the volume.

10.Design a cylinder with a radius of 3 cm and a volume of 282.6 cm³. Calculate the height and sketch your cylinder, labelling its radius and height.

Draw and label the cylinder you calculated.

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Year 7

Cylinder Volume Exploration Worksheet

Cylinder Volume Exploration Worksheet

Build the volume idea

Compare the changes

3 printable pages

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

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