A rectangular sheet of paper `30 cm xx18 cm` can be transformed into the curved surface of a right circular cylinder in two ways i.e., either by rolling the paper along its length or by rolling it along its breadth. Find the ratio of the volumes of the two cylinders thus formed.

Explanation

Rolling along length, circumference of base =`30 cm`
`2pir`=`30 cm`
r=`30//2picm`
Volume=`pixx30//2pixx30//2pixx18`=`225xx18//picm^3`
Rolling along its width, circumference of base=`18 cm`
`2piR`=`18`
`R`=`18//2pi`=`9//picm`
Volume=`pixx9//pixx9//pixx30`
=`81xx30//pi cm^3`
Ratio of volumes =`225xx18//pi`:`81xx30//pi`
=`5:3`