Answer:
[tex]h = \frac{S - 2\pi r ^{2} }{2\pi r} [/tex]
Step-by-step explanation:
S = 2πr² + 2πrh
To solve for h move 2πr² to the other side of the equation
That's
2πrh = S - 2πr²
Next divide both sides by 2πr in order to isolate h
That's
[tex] \frac{2\pi rh}{2\pi r} = \frac{S - 2\pi r ^{2} }{2\pi r} [/tex]
We have the final answer as
[tex]h = \frac{S - 2\pi r ^{2} }{2\pi r} [/tex]
Hope this helps you
