Answer:
[tex]h=\frac{SA}{2\pi r}-r[/tex]
Step-by-step explanation:
The surface area of a cylinder is equal to
[tex]SA=2\pi r^{2} +2\pi rh[/tex]
Solve for h
That means ----> isolate the variable h
subtract 2πr² both sides
[tex](SA-2\pi r^{2})=2\pi rh[/tex]
Divide by 2πr both sides
[tex]\frac{SA-2\pi r^{2}}{2\pi r}=h[/tex]
Rewrite
[tex]h=\frac{SA-2\pi r^{2}}{2\pi r}[/tex]
Simplify
[tex]h=\frac{SA}{2\pi r}-r[/tex]
