0580/33 May/Jun 2026, Question 26: Volume and Surface Area of a Cone
Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 4 marks
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The question, in short
Given a sphere of radius 3.6 cm and a cone of slant height 8 cm with equal surface areas, find the cone's base radius r.
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Solution · 4 marks
- 1Surface area of sphere = 4π × 3.6² = 51.84π
- 2Curved surface area of cone = π × r × 8 = 8πr
- 38πr = 51.84π
- 4r = 51.84 ÷ 8 = 6.48
Answer6.48
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