1.

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

Answer» `2pir(r+h)=462cm^2-(1)`
`2pirh=1/3*2pir(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`
Volume`=22/7*7*7*3.5`
`=539cm^3`.


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