Question:The radii of the base of a cylinder and a cone are in the ratio of `3 : 4` and their heights are in the ratio `2 : 3`. Their volumes are in the ratio of :
A `9 : 8`
B `3 : 4`
C `8 : 9`
D `4 : 3`
/113
+ Answer
C
+ ExplanationLet their radii be `3x, 4x & heights be `2x` and `3x`.
Ratio of their volumes
`= (π xx (3x)^2 xx 2x)/(1/3 π xx (4x)^2 xx 3x)`
`= 18/16`
`= 9/8`