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0580/23 Oct/Nov 2023, Question 11: Volume and Surface Area of a Sphere

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 4 marks

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The question, in short

Find the mass in kilograms of a bronze sphere with radius 3.6 cm and density 8.05 g/cm³, rounded to the nearest gram.

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

Solution · 4 marks

  1. 1V = 4/3 × π × 3.6³ = 195.43… cm³
  2. 2Mass = 195.43… × 8.05 = 1573.2… g
  3. 31573.2… ÷ 1000 = 1.573 kg (to the nearest gram)

Answer1.573

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