The volume of metallic cylindrical pipe is `748 c m^3` . Its length is `14 c m` and its external radius is 9cm. Find its thickness.

Explanation

Height of the cylinder`=14cm`
Let inner radius of the cylinder be `r` and that of the outer radius of cylinder be `R`
Volume of cylinder`=piR^2h−pir^2h`
According to the question:
`pih(R^2−r^2)=748`
`22/7xx14xx(9^2−r^2)=748`
`44xx81−44r^2=748`
`44r^2=2816`
`r^2=64`
`r=8cm`
Thickness of the cylinder`=R-r=9−8=1cm`