Sphere: Real-world Applications
Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet exploring the properties and applications of spheres through real-world scenarios and calculations, designed for GCSE Foundation students.
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Full preview • 11 questions
Sphere: Real-world Applications
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the surface area of a sphere with a radius of 5 cm. Use the formula 4πr².
[3 marks]2.
What is the volume of a sphere with a diameter of 12 cm? Recall the formula (4/3)πr³.
[3 marks]3.
A globe has a radius of 15 cm. Calculate the surface area of the globe.
[2 marks]4.
Construct a sphere with a radius of 4 cm on the grid. Label the radius.
[2 marks]5.
Calculate the volume of a sphere with a radius of 3 cm. Use (4/3)πr³.
[3 marks]6.
A tennis ball has a radius of approximately 3.3 cm. Find its surface area.
[2 marks]7.
A spherical tank has a volume of 2000 m³. Calculate its radius. (Use the volume formula (4/3)πr³).
[4 marks]8.
A sphere with radius 10 cm is painted. How much paint is needed if 1 litre of paint covers 4πr² cm²? (Calculate the surface area and convert to litres).
[4 marks]9.
A spherical crystal has a volume of 523.6 cm³. Find its radius.
[3 marks]10.
Identify and correct the mistake in this calculation: The surface area of a sphere with radius 7 cm is (4π)(7)² = 615.75 cm².
[2 marks]11.
A spherical medal has a diameter of 10 cm. Calculate the amount of gold used if the medal is 0.5 cm thick. Assume the shape is a hollow sphere.
[5 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet