Mathematics for IGCSE & O level - Similarity (Section 2 - No. 17)

Two similar cones have heights in a ratio of 2:5. If the surface area of the smaller cone is 24 cm², what is the surface area of the larger cone?
60 cm²
100 cm²
150 cm²
24 cm²

Explanation

The length scale factor is 5/2 = 2.5 . The area scale factor is (2.5)²=6.25. Area of larger cone is 24* 6.25 = 150 cm²

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