Question

Two cones have their volumes in the ratio
3:1 and their heights are in the ratio 1:3 then
the ratio of their radius is​

Answer 1

let the heights be 1x and 3x respectively

and their radii be 3y and 1y .

volume of cone1 = volume of cone 2

1/3 \pi r ^{2} h =1/3 \pi r ^{2} h  

1/3 \pi (3y) ^{2} x =1/3 \pi (1y) ^{2} 3x

9y ^{2}  * x =y ^{2} *3x

9:3

3:1