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

Explanation

Let the radius be `2x` and height be `3x`.

Volume of cylinder, `V = pir^2h`

`1617=(22/7)xx(2x)xx(3x)`

`x^3=(7/2)^3`

`x=7/2cm`

`r=7cm` and `h=21/2cm`
T.S.A of cylinder = `2pir(r+h)`

T.S.A = `2xx22/7xx7(7+21/2)`

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