0580/22 Feb/Mar 2025, Question 13: Equating Volumes: Melting and Recasting
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 4 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
A cylinder of radius r cm and height 16 cm has the same volume as a sphere of radius 3 cm; find r.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 1Volume of sphere = 4/3 × π × 3³ = 36π
- 2Volume of cylinder = π × r² × 16
- 316πr² = 36π
- 4r² = 36/16 = 9/4
- 5r = 3/2
Answer3/2
Stuck on a step? Read the free lesson: Equating Volumes: Melting and Recasting
Practise more equating volumes: melting and recasting 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 equating volumes: melting and recasting
Also searched as: 0580/22/F/M/25 · 0580_m25_qp_22 · 0580 m25 22 · question 13.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.