The sum of the radius of the base and height of a solid cylinder is 37m. If the total surface area of the solid cylinder is `1628c m^2dot` Find the volume of the cylinder.

Explanation

Let radius of cylinder be`r m` and height of cylinder be`h m`< therefore,
`r+h`=`37 m`
Total surface area of cylinder=`1628 m^2`
`2pir(r+h)=1628`
`2xx22//7xxrxx37=1628`
`r=7 m`
`h=37-r=30 m`
therefore volume of the cyclinder=`pir^2h=22//7xx7xx7xx30`
=`4620m^3`