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0580/32 Oct/Nov 2025, Question 19: Equating Volumes: Melting and Recasting

Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 3 marks

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The question, in short

A cylinder with radius 5 cm and height 12 cm has the same volume as a cube with edge x cm. Find x.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Solution · 3 marks

  1. 1Cylinder volume = π × 5² × 12 = 942.47… cm³
  2. 2x³ = 942.47…
  3. 3x = ∛942.47… = 9.804… ≈ 9.80

Answer9.80 or 9.804 to 9.805

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Also searched as: 0580/32/O/N/25 · 0580_w25_qp_32 · 0580 w25 32 · question 19.
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