4MA1/2FR Jun 2023, Question 24: Using Trigonometry and Pythagoras Together
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 6 marks
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The question, in short
From a rectangle with diagonal 50 cm and angle 32° at D, a cylinder is made by joining AD to BC, with DC as the base circumference. Calculate its volume in cm³ to 3 significant figures.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 6 marks
- 1sin(32) = BC / 50
- 2BC = 50 × sin(32) = 26.4959...
- 3cos(32) = CD / 50
- 4CD = 50 × cos(32) = 42.4024...
- 5r = 42.4024... / (2 × π) = 6.74855...
- 6V = π × (6.74855...)² × 26.4959...
- 7V = 3790
Answer3790
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