Answer:
[tex]\large\boxed{h=\dfrac{S-2\pi r^2}{2\pi r}}[/tex]
Step-by-step explanation:
[tex]S=2\pi r^2+2\pi rh\qquad\text{subtract}\ 2\pi r^2\ \text{from both sides}\\\\S-2\pi r^2=2\pi rh\qquad\text{divide both sides by}\ 2\pi r\neq0\\\\\dfrac{S-2\pi r^2}{2\pi r}=h[/tex]
