The ratio between the curved surface area and the total surface area of a right circular cylinder is 1:2. Find the ratio between the height and radius of the cylinder.

Explanation

given that
CSA : TSA of cylinder = `1:2`
`(2 pi r h) / (2pir(r+h)) = 1/2`
`h/(r+h) = 1/2`
by cross multiplication,
` 2h = r+h`
`2h-h = r`
therefore `h=r`
by calculating, we get height is equal to radius. then ratio of their height and radius is
height of cylinder : radius of cylinder =` 1:1`