4MA1/2H Jun 2020, Question 9: Surface Area of a Cuboid and Cylinder
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 5 marks
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The question, in short
A cylinder has radius 3 m and volume 72π m³; work out its total surface area, giving the result to 3 significant figures.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1Volume: π × 3² × h = 72π, so 9h = 72 and h = 8
- 2Two circular ends: 2 × π × 3² = 18π
- 3Curved surface: 2 × π × 3 × 8 = 48π
- 4Total: 18π + 48π = 66π = 207.3…
- 5To 3 significant figures: 207
Answer207
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