πr²h: Problem Solving & Reasoning
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating the volume of cylinders using πr²h, including procedural practice, reasoning, and real-world applications.
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πr²h: Problem Solving & Reasoning
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the volume of a cylinder with radius 3 cm and height 10 cm.
[2 marks]2.
Find the height of a cylinder with radius 4 cm if its volume is 201.06 cm³.
[2 marks]3.
A cylinder has a radius of 5 cm and a height of 12 cm. What is its volume? (Use π ≈ 3.14)
[2 marks]4.
Construct a cylinder with a radius of 2 cm and height of 8 cm. Calculate its volume.
[3 marks]5.
A cylindrical water tank has a radius of 6 meters and a height of 10 meters. How much water can it hold in cubic meters?
[3 marks]6.
A metal pipe has a length of 15 meters and a radius of 0.5 meters. Calculate its volume.
[3 marks]7.
A cylinder's volume is 150π cm³, and its height is 10 cm. Find the radius of the cylinder.
[3 marks]8.
A cylindrical container has a volume of 314 cm³. If the radius is 2 cm, what is the height?
[2 marks]9.
A cylinder with radius 7 cm is filled with water up to a height of 15 cm. If 462 cm³ of water are added, what is the new height of water in the cylinder?
[4 marks]10.
A cylinder's volume is underestimated by 10% because the radius was measured incorrectly as 4 cm instead of the actual 4.2 cm. Find the correct volume.
[4 marks]11.
A cylinder has a radius of 3 cm and height of 7 cm. What is its volume? Use π ≈ 3.14.
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet