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
B
20:27
C
17:27
D
20:37

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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