4MA1/1HR Jun 2018, Question 22: Volume and Surface Area of a Sphere
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 5 marks
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The question, in short
Hollow metal sphere with internal radius 1.2 m and metal thickness t cm; density 2700 kg/m³ and mass 1980 kg. Find t to 2 significant figures.
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Solution · 5 marks
- 1Metal volume = 1980 ÷ 2700 = 0.7333… m³
- 2Inner volume = 4/3 × π × 1.2³ = 7.2382… m³
- 3Outer radius R: 4/3 × π × R³ = 7.9715…, so R = 1.2392… m
- 4t = 1.2392… − 1.2 = 0.0392… m = 3.92 cm
- 5t = 3.9 (2 s.f.)
Answer3.9
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