Answer:
h = [tex]\frac{A}{2pr}[/tex] - [tex]\frac{r}{2}[/tex]
Step-by-step explanation:
(p is π)
A = 2prh + pr²
factor out pr:
A = pr(2h + r)
divide both sides by pr:
[tex]\frac{A}{pr}[/tex] = 2h + r
subtract r from both sides:
[tex]\frac{A}{pr}[/tex] - r = 2h
divide both sides by 2:
[tex]\frac{A}{2pr}[/tex] - [tex]\frac{r}{2}[/tex] = h
h = [tex]\frac{A}{2pr}[/tex] - [tex]\frac{r}{2}[/tex]
