0580/33 May/Jun 2025, Question 22: Volume of a Prism
Cambridge IGCSE Mathematics 0580 · Paper 33 (Core) · Calculator · 4 marks
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The question, in short
A cylinder has height 10 cm and volume 478 cm³. Find its radius, then use the gold density 19.3 g/cm³ to calculate the cylinder's mass.
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Part (a) · 3 marks
Given the cylinder's volume 478 cm³ and height 10 cm, find its radius.
- 1π × r² × 10 = 478
- 2r² = 478 ÷ (10π) = 15.21…
- 3r = √15.21… = 3.900… ≈ 3.9 cm
Answer3.9 or 3.900 to 3.901
Part (b) · 1 mark
Using density 19.3 g/cm³ and the cylinder's volume, calculate its mass in grams.
- 1Mass = density × volume = 19.3 × 478 = 9225.4 g
Answer9225.4
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Also searched as: 0580/33/M/J/25 · 0580_s25_qp_33 · 0580 s25 33 · question 22.
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