The ratio between the radius of the base and the height of a cylinder is `2:3.`, find the total surface area of the cylinder, it its volume is `1617` `c m^3 .`

Explanation

`r/h=2/3`

`r=2/3h`

Volume of cylinder`=pir^2h`

`1617=22/7xx2/3hxx2/3hxx2/3hxxh`

`h^3=(1617xx7xx9)/(22xx4)`

`h=21/2cm`

`r=7cm`

Total surface area of cylinder`=2pirh+2pir^2`

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