Question

If radii of 2 cylinders are in the ratio 4:3 and their heights are in the ratio 3:4, find the ratio of their curved surface areas and their volumes.
3

Answer 1

Let the radii be r & r' and heights be h & h' such that,

⇒r/r' = 4/3, h/h' = 3/4

Ratio of their C.S.A. = 2πrh : 2πr'h' = r/r' x h/h'

By the values given,

=4/3 x 3/4 = 1 : Ans(i) part

Ratio of their Volumes = πr^2h : πr'^2h' = (r/r)^2' x h/h'

By the values given,

=4/3 x 4/3 x 3/4 = 4/3 : Ans(ii) part

Hope I helped