4MA1/1H Jun 2018, Question 16: Volume Factor of Similar Shapes
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 4 marks
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The question, in short
Similar cones form a frustum; the frustum's volume is 98/125 of the large cone's. Using base radius r and height h, find the frustum height as an expression in h.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1125 − 98 = 27
- 227/125 is the volume scale factor for the small cone to large cone
- 3∛(27/125) = 3/5 is the length scale factor
- 4height of small cone = (3/5)h
- 5height of frustum = h − (3/5)h
- 6h − (3/5)h = (2/5)h
Answer2/5 h
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