The ratio of the volume of a right circular cylinder and a right circular cone of the same base and height, is (a)   1:3       (b)  3:1             (c)  4:3        (d)  3:4

Explanation

Here, radius and height of the right circular cone and cylinder are same i.e. `r` and `h`.

Volume of a right circular cylinder (V) = `pir^2h`

volume of a right circular cone (v) = `1/3pir^2h`

So, `V/v = (pir^2h)/(1/3pir^2h)`

`V/v=3/1`=`3:1`

Hence, option(b) is correct.