Respuesta :
[tex]S=2\pi r^2+2\pi rh[/tex]
We need to solve for h. It means we need to get 'h' alone
First we subtract [tex] 2\pi r^2[/tex] on both sides
[tex]S - 2\pi r^2=2\pi r^2- 2\pi r^2+2\pi rh[/tex]
[tex]S - 2\pi r^2=2\pi rh[/tex]
Now we divide by [tex]2\pi r[/tex] on both sides
[tex]\frac{S - 2\pi r^2}{2\pi r} = \frac{2\pi rh}{2\pi r}[/tex]
[tex]\frac{S - 2\pi r^2}{2\pi r} =h[/tex]
We got h alone. Solved for h
[tex]h=\frac{S - 2\pi r^2}{2\pi r}[/tex]