Answer:
[tex]\huge \boxed{h= \displaystyle \frac{SA}{2\pi r} -r}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]SA=2\pi r^2 +2\pi rh[/tex]
Subtracting [tex]2\pi r^2[/tex] from both sides:
[tex]SA-2\pi r^2 =2\pi rh[/tex]
Dividing both sides by [tex]2\pi r[/tex]:
[tex]\displaystyle \frac{SA-2\pi r^2}{2\pi r} =h[/tex]
Simplifying the equation:
[tex]\displaystyle \frac{SA}{2\pi r} -r=h[/tex]
[tex]\rule[225]{225}{2}[/tex]
