4024/23 May/Jun 2026, Question 24: Frustum of a Cone
Cambridge O Level Mathematics 4024 · Paper 23 (Calculator) · Calculator · 6 marks
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The question, in short
From a cone of height 75 with base radius 25 and top radius 15, find the total surface area of the frustum shown in the diagram.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 6 marks
- 1Small cone height = 75 × 15/25 = 45
- 2Slant heights: √(75² + 25²) = 79.06…, √(45² + 15²) = 47.43…
- 3Curved area = π × 25 × 79.06… − π × 15 × 47.43… = 3973.3…
- 4Ends = π × 25² + π × 15² = 850π = 2670.4…
- 5Total = 6643.7… ≈ 6640 cm²
Answer6640 to 6650
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Also searched as: 4024/23/M/J/26 · 4024_s26_qp_23 · 4024 s26 23 · question 24.
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