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Question

The ratio of radii of two cylinders is 1:3 and their heights are in the ratio 2 : 3. The ratio of their curved surface area is:


A
4:33
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B
2:33
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C
3:23
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D
1:3
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Solution

The correct option is B 2:33
Let the radii be r and 3r and heights be 2h and 3h respectively.

The curved surface area of a cylinder is given by 2π(radius)(height).

Ratio of their curved surface area

=2πr(2h):2π(3r)(3h)

=2πr×2h2π3r×3h

=233

Therefore, the required ratio is 2:33.

Mathematics

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