4MA1/2H Jun 2023, Question 25: Calculating with Bounds
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 4 marks
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The question, in short
Given a sphere of radius 2.8 cm (1 d.p.) and mass Mπ grams with M = 260 (2 s.f.), find the upper bound of its density in g/cm³ to 2 decimal places.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 1Lower bound of radius = 2.75 cm; upper bound of M = 265, so mass = 265π g
- 2Lower bound of volume = (4/3) × π × 2.75³ = 27.729…π cm³
- 3Upper bound of density = largest mass ÷ smallest volume = 265π ÷ 27.729…π
- 4= 9.5567…, so 9.56
Answer9.56
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