4MA1/1F Nov 2021, Question 22: Volume of a Prism
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 5 marks
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The question, in short
Given a solid aluminium cylinder with radius 10 cm and mass 5.4 kg, and aluminium density 0.0027 kg/cm³, find the height h to one decimal place.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 5 marks
- 1Volume = mass ÷ density = 5.4 ÷ 0.0027 = 2000 cm³
- 2Volume of cylinder = π × 10² × h = 100πh
- 3100πh = 2000, so h = 2000 ÷ 100π = 6.366…
- 4h = 6.4
Answer6.4
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