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

The ratio between the curved surface area and the total surface area of a right circular cylinder`=1:2`
Curved surface area of cylinder`=2pirh`
Total surface area`=2pirh+2pir^2`
According to the question:
Curved surface area of cylinder`/`Total surface area`=1/2`
`(2pirh)/(2pirh+2pir^2)=1/2`
`h/h+r=1/2`
`2h=h+r`
`h=r`
`h/r =1`
`h:r=1:1`
`therefore` The ratio between the height and radius of the cylinder`=1:1`