0580/22 Oct/Nov 2022, Question 21: Frustum of a Cone
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 4 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Find the volume of a solid formed by removing a small cone from the top of a larger cone with height 12.5 cm, base diameter 9.2 cm, and solid height 5.5 cm.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 1Large cone: V = 1/3 × π × 4.6² × 12.5 = 276.98… cm³
- 2Small cone height = 12.5 − 5.5 = 7 cm; radius r/4.6 = 7/12.5, so r = 2.576 cm
- 3Small cone: V = 1/3 × π × 2.576² × 7 = 48.64… cm³
- 4Solid = 276.98… − 48.64… = 228.3… ≈ 228 cm³
Answer228 or 228.3 to 228.4
Stuck on a step? Read the free lesson: Frustum of a Cone
Practise more frustum of a cone questions
Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on frustum of a cone
Also searched as: 0580/22/O/N/22 · 0580_w22_qp_22 · 0580 w22 22 · question 21.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.