0580/12 May/Jun 2021, Question 20: Area Factor of Similar Shapes
Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 2 marks
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The question, in short
Using the two cylinders with diameters 5 cm and 12.5 cm and heights 13 cm and 32.5 cm, show they are mathematically similar.
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Solution · 2 marks
- 1Height ÷ diameter for the small cylinder: 13 ÷ 5 = 2.6
- 2Height ÷ diameter for the large cylinder: 32.5 ÷ 12.5 = 2.6
- 3The ratios are equal, so the cylinders are mathematically similar.
Answer13 ÷ 5 = 2.6 and 32.5 ÷ 12.5 = 2.6, or 32.5 ÷ 13 = 2.5 and 12.5 ÷ 5 = 2.5
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