A solid cylinder has total surface area of `462` square cm. Its curved surface area is one-third of its total surface area. Find the volume of the cylinder. (Take `pi=22//7)`

Explanation

`2pir(r+h)=462cm^2-(1)`

`2pirh=1/3xx2pir(r+h)`

`3h=r+h`

`r=2h-(2)`

`2pi(2h)(3h)=462`

`h^2=(462*7)/(12*22)`

`h^2=12.25`

`h=3.5cm`

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