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4MA1/2H Jan 2023, Question 21: Volume and Surface Area of a Sphere

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

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The question, in short

A sphere has surface area 49π cm²; find its volume, rounded to the nearest integer.

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

Solution · 3 marks

  1. 149π = 4πr²
  2. 2r² = 49 / 4
  3. 3r = 3.5
  4. 4volume = (4/3)π × (3.5)³
  5. 5volume = (4/3)π × 42.875
  6. 6volume ≈ 179.59
  7. 7180

Answer180

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