Question

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^3dot`

Answer 1

`r/h=2/3`
`r=2/3h`
Volume od cylinder`=pir^2h`
`1617=22/7*2/3h*2/3h*2/3h*h`
`h^3=(1617*7*9)/(22*4)`
`h=21/2cm`
`r=7cm`
Total surface area of cylinder`=2pirh+2pir^2`
`=2*22/7(7*21/2+7*7)`
`=770cm^2`.