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4MA1/2HR Jan 2023, Question 10: Compound Measures

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 3 marks

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The question, in short

Find the density of Solid C formed by melting cylinder A (radius 3 cm, height 7 cm, mass 2000 g) and Solid B (mass 3375 g, volume 450 cm³), giving the answer to one decimal place.

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

Solution · 3 marks

  1. 1Volume of A = π × 3² × 7 = 63π ≈ 197.92 cm³
  2. 2Total mass = 2000 + 3375 = 5375 g
  3. 3Total volume = 197.92 + 450 = 647.92 cm³
  4. 4Density = 5375 ÷ 647.92 = 8.29… ≈ 8.3 g/cm³

Answer8.3

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