The radii of two right circular cylinders are in the ratio 2: 3 and their heights are in the ratio 5:4 calculate the ratio pof their curved surface areas and also the ratio of their

Explanation

Let the radii of the two cylinders be 2r and 3r respectively and their height be 5h and 4h
`("curved surface area of 1st cylinder" (S_(1)))/("curved surface area of 2nd cylinder" (S_(2)))=(2pixx2rxx5h)/(2pixx3rxx4h)`
`(S_(1))/(S_(2))=(5)/(6) "or" S_(1):S_(2)=5:6`
`("volume of 1st cylinder" (V_(1)))/("volume of 2n cylinder" (V_(2)))=(pixx(2r)^(2)xx5h)/(pixx(3r)^(2)xx4h)`
`(V_(1))/(V_(2))=(5)/(9)` or `V_(1):V_(2)=5:9`