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4024/11 May/Jun 2020, Question 24: Composite Perimeter, Area and Volume

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks

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The question, in short

A cone of radius 28 cm and slant height y cm has the same curved surface area as a cylinder of radius 15 cm and height 42 cm. Find y.

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

Solution · 3 marks

  1. 1Curved surface of cylinder = 2 × π × 15 × 42 = 1260π
  2. 2π × 28 × y = 1260π
  3. 328y = 1260
  4. 4y = 1260 ÷ 28 = 45

Answer45

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