The height `h` of cylinder equals the circumference of the cylinder. In terms of `h ,` what is the volume of the cylinder? `(h^3)/(4pi)` (b) `(h^2)/(2pi)\ ` (c) `(h^3)/2` (d) `pih^3`

Explanation

given ,

height `=circumference`

`h=2pir`

`r=h/2pi`

so volume `=pir^2h`

`=pi(h/2pi)^2h`

`=h^3/4pi`

so ans is a)