0580/21 Oct/Nov 2024, Question 16: Composite Perimeter, Area and Volume
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 4 marks
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The question, in short
Use equal volumes of a 6 cm sphere and an 18 cm cylinder to find the cylinder's radius, then calculate its curved surface area in terms of π.
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Solution · 4 marks
- 1Sphere volume = 4/3 × π × 6³ = 288π
- 2πR² × 18 = 288π → R² = 16 → R = 4
- 3Curved surface area = 2π × 4 × 18
- 4= 144π cm²
Answer144π
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