0580/32 May/Jun 2025, Question 23: Equating Volumes: Melting and Recasting
Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 4 marks
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The question, in short
A sphere and a cone both have radius 8 cm and equal volumes. Work out the cone's height h.
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Solution · 4 marks
- 1Sphere: V = 4/3 × π × 8³
- 2Cone: V = 1/3 × π × 8² × h
- 34/3 × π × 8³ = 1/3 × π × 8² × h
- 4h = 4 × 8³ ÷ 8² = 4 × 8
- 5h = 32 cm
Answer32
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