0580/43 May/Jun 2026, Question 21: Frustum of a Cone
Cambridge IGCSE Mathematics 0580 · Paper 43 (Extended) · Calculator · 5 marks
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The question, in short
Calculate the volume of a frustum with top radius 8 cm, bottom radius 12 cm and vertical height 9 cm.
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Solution · 5 marks
- 1h/8 = (h + 9)/12 ⇒ 12h = 8h + 72 ⇒ h = 18
- 2Full cone height = 18 + 9 = 27 cm
- 3Large cone = 1/3 π × 12² × 27 = 1296π
- 4Small cone = 1/3 π × 8² × 18 = 384π
- 5Frustum = 1296π − 384π = 912π = 2865.1… ≈ 2870 cm³
Answer2870 or 2865 to 2866 (912π)
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Also searched as: 0580/43/M/J/26 · 0580_s26_qp_43 · 0580 s26 43 · question 21.
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