0580/21 May/Jun 2022, Question 17: Volume and Surface Area of a Sphere
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks
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The question, in short
Given a hemisphere with volume 80 cm³ and the sphere volume formula V = 4/3 πr³, find its radius.
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Solution · 3 marks
- 1Hemisphere: 1/2 × 4/3 πr³ = 80, so 2/3 πr³ = 80
- 2r³ = 120/π = 38.19…
- 3r = ∛38.19… = 3.367… ≈ 3.37 cm
Answer3.37 or 3.367 to 3.368
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