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Question

The radii of two cylinders are in the ratio of $$2:3$$ and their heights are in the ratio of $$5:3$$. The ratio of their volumes is


A
10:17
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B
20:27
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C
17:27
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D
20:37
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Solution

The correct option is B $$20 : 27$$
Volume of the cylinder $$=\pi r^2 h $$
$$r_{1}:r_{2}=2:3$$
$$h_{1}:h_{2}=5:3$$
Ratio of their volume $$=\dfrac { { r }_{ 1 }^{ 2 }{ h }_{ 1 } }{ { r }_{ 2 }^{ 2 }{ h }_{ 2 } } =\dfrac { 20 }{ 27 }  $$
Therefore, ratio of volumes is $$20:27$$
Hence, option B is the correct answer.

Mathematics

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