Answer:
[tex]\large \boxed{\sf h= \frac{S-2\pi r}{2\pi r} }[/tex]
Step-by-step explanation:
The surface area of a cylinder:
[tex]S=2\pi r h + 2\pi r[/tex]
Solve for height h
Subtract 2πr from both sides
[tex]S-2\pi r=2\pi r h[/tex]
Divide both sides by 2πr
[tex]\displaystyle \frac{S-2\pi r}{2\pi r} = h[/tex]
