Question
The radii of the bases of a cylinder and a cone are in the ratio of 3 : 4 and their height are in the ratio 2 : 3 . Find the ratio of their volumes .
Answer: Option C
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Let the radii of the cylinder and the cone be 3r and 4r and their height be 2h and 3h respectively .
`:.` Volume of cylinder/Volume of cone
=` (pi xx (3r)^2 xx 2h)/(1/3 pi xx (4r)^2 xx 2h)`
= `9/8` = 9 : 8.
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