The ration between the curved surface area and the total surface area of a right circular cylinder is 1:2. Find the volume of the cylinder, if its total surface area is `616\ c m^2dot`

Explanation

Ratios of C.S.A/T.S.A = `1/2`

`C.S.A=2xxT.S.A`

`C.S.A=1/2xx616`=`308cm^2`

`2pirh=308`____1

`therefore` T.S.A of cylinder = `2pirh+2pir^2`

`616 = 308 + 2pir^2` (from 1)

`r^2=308/2pi`

`r=7cm`

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