0580/22 May/Jun 2025, Question 16: Composite Perimeter, Area and Volume
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 4 marks
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The question, in short
Find the total surface area of a solid formed by a hemisphere of radius 6 cm on a cylinder of radius 6 cm and height 5 cm, giving the answer in terms of π.
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Solution · 4 marks
- 1Curved hemisphere = 1/2 × 4 × π × 6² = 72π
- 2Base circle = π × 6² = 36π
- 3Curved cylinder = 2 × π × 6 × 5 = 60π
- 4Total = 72π + 36π + 60π = 168π cm²
Answer168π
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