Question

S=2πr2+2πrh; Solve for h.

Answer 1

`S=2\pi r^2+2\pi rh`

We need to solve for h. It means we need to get 'h' alone

First we subtract
`2\pi r^2` on both sides

`S - 2\pi r^2=2\pi r^2- 2\pi r^2+2\pi rh`

`S - 2\pi r^2=2\pi rh`

Now we divide by
`2\pi r` on both sides

`(S - 2\pi r^2)/(2\pi r) = (2\pi rh)/(2\pi r)`

`(S - 2\pi r^2)/(2\pi r) =h`

We got h alone. Solved for h

`h=(S - 2\pi r^2)/(2\pi r)`