WILL AWARD BRAINLEST
Please show work.

Answer:
[tex]h = \frac{s - 2\pi {r}^{2} }{2\pi \: r}[/tex]
Step-by-step explanation:
[tex]s = 2\pi \: r \: h + 2\pi {r}^{2} \\ s - 2\pi {r}^{2} = 2\pi \: r \: h \\ \frac{s - 2\pi {r}^{2} }{2\pi \: r} = \frac{2\pi \: rh}{2\pi \: r } \\ h \: = \frac{s - 2\pi {r}^{2} }{2\pi \: r}[/tex]