πr²h: Mixed Review

Mathematics
Year 9
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet reviewing the formula for the volume of cylinders, πr²h, with a mix of procedural, problem-solving, real-world, and extension questions.

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Full preview • 12 questions

πr²h: Mixed Review

Subject: MathematicsGrade: Year 9
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Untitled Worksheet

Grade Year 9
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the volume of a cylinder with a radius of 3 cm and a height of 10 cm. Use π ≈ 3.14.
[2 marks]
2.
A cylinder has a radius of 5 meters and a height of 8 meters. Find its volume.
[2 marks]
3.
Construct a cylinder on the grid with a radius of 2 units and a height of 6 units. Label the dimensions.
[2 marks]
4.
Plot the graph of y = 2x for x values from 0 to 10 on the grid.
[1 mark]
5.
A cylindrical water tank has a radius of 4 meters and a height of 12 meters. Calculate its volume using π ≈ 3.14.
[2 marks]
6.
A tube has a radius of 1.5 cm and a length of 20 cm. Find its volume.
[2 marks]
7.
A cylinder's volume is 150 π cm³. If the height is 10 cm, what is the radius?
[3 marks]
8.
A cylinder with a radius of 2 cm is filled with water to a height of 15 cm. What is the volume of the water?
[2 marks]
9.
Identify and correct the mistake in this calculation: Volume = π × (3)² × 8 = 72π cm³.
[2 marks]
10.
A cylindrical pipe has a radius of 4 cm and a length of 50 cm. Calculate the volume of material needed to make the pipe, assuming the pipe is hollow with a wall thickness of 0.5 cm. Use π ≈ 3.14.
[4 marks]
11.
Construct a cylinder on the grid with a radius of 3 units and a height of 7 units. Show all steps.
[3 marks]
12.
A beaker is shaped like a cylinder with a radius of 4.5 cm and a height of 10 cm. Calculate how much liquid it can hold. Round to the nearest cubic centimeter.
[2 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet