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 curved surface areas.

Explanation

Let the radii be` 2x` and `3x`,
and the height be `5y` and `3y`.
so, ratio of volume`=(pi(2r)^2xx5h)/(pi(3r)^2xx3h)`
`((2x)^2xx(5y))/(3x^2xx3y)`
`(20x^2y)/(27x^2y)`
`20/27`,
ratio of` CSA =(rh)/(RH)`
`(2x xx5y)/(3x xx3y)`
`(10xy)/(9xy) =10/9`.
the value of `x` and `y` can be termed to be get highes value and therefore bring forth in taking radius calculation