The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. Calculate the ratio of their volumes and the ratio of theri curved surfaces.

Explanation

Let their radii be 2R, 3R and their heights be 5H, 3H
Then, `(V_(1))/(V_(2)) = (pi (2R)^(2) xx 5H)/(pi xx (3R)^(2) xx 3H) = (20)/(27) rArr V_(1) : V_(2) = 20 : 27`
and `(S_(1))/(S_(2)) = (2pi (2R)(5H))/(2pi (3R) (3H)) = (10)/(9) rArr S_(1) : S_(2) = 10 : 9`
Hence, their volumes are in the ratio `20: 27` adn their surface areas are in the ratio `1 : 9`