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 `1628\ c m^2dot` Find the volume of the cylinder.

Explanation

Sum of the radius of the base and height of a cylinder is `r+h=37cm`

T.S.A of cylinder = `1628cm^2`

`2pir(r+h)=1628`

`2xx22/7xxr(37)=`1628`

`r=(7xx1628)/(44xx37)`

`r=11396/1628`=`7cm`

Volume of a cylinder = `pir^2h`

`h=37-7=30cm`

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