⅓πr²h: Fluency & Practice
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating the volume of cones using the formula ⅓πr²h, designed to develop procedural fluency and problem-solving skills.
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⅓πr²h: Fluency & Practice
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 cone with radius 4 cm and height 9 cm. Use π ≈ 3.14.
[2 marks]2.
A cone has a radius of 6 cm and a volume of approximately 226.08 cm³. Find its height, using π ≈ 3.14.
[3 marks]3.
Construct a cone on the grid with a radius of 3 cm and a height of 7 cm. Calculate its volume using π ≈ 3.14.
[3 marks]4.
A cone has a height twice its radius. If the radius is 5 cm, what is its volume? Use π ≈ 3.14.
[2 marks]5.
Calculate the volume of a cone with radius 8 cm and height 10 cm. Round your answer to two decimal places.
[2 marks]6.
A cone's radius is increased from 3 cm to 6 cm, keeping the height constant at 9 cm. How does the volume change?
[4 marks]7.
If a cone's volume is 314 cm³ and the height is 10 cm, find its radius. Use π ≈ 3.14.
[3 marks]8.
A cone with radius 4 cm is filled with a liquid to a height of 12 cm. Calculate the volume of the liquid.
[3 marks]9.
A cone has a volume of 200 cm³ and a height of 10 cm. Find the radius, using π ≈ 3.14.
[3 marks]10.
A large tank in the shape of a cone has a radius of 10 m and a height of 15 m. Calculate its volume in cubic meters. Round to the nearest whole number.
[3 marks]11.
Identify and correct the mistake in this calculation: A cone with radius 5 cm and height 7 cm has volume 183.25 cm³, using π ≈ 3.14.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet