0580/12 May/Jun 2024, Question 16: Circumference and Area of a Circle
Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 5 marks
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The question, in short
A circle has area 36π cm². Find its circumference in terms of π, then use the circle as the base of a cylinder of volume 540π cm³ to work out the height h.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 3 marks
Find the circumference of the circle with area 36π cm², giving the answer in terms of π.
- 1πr² = 36π, so r² = 36
- 2r = 6 cm
- 3Circumference = 2 × π × 6 = 12π cm
Answer12π
Part (b) · 2 marks
The circle is the base of a cylinder with volume 540π cm³ and height h cm; work out h.
- 136π × h = 540π
- 2h = 540π ÷ 36π = 15
Answer15
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Also searched as: 0580/12/M/J/24 · 0580_s24_qp_12 · 0580 s24 12 · question 16.
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