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Verified Answer :

Neuron

If you would like to solve S = 2 3.14 r^2 + 2 3.14 r h for h, you can do this using the following steps:

S = 2 3.14 r^2 + 2 3.14 r h
S - 2 3.14 r^2 = 2 3.14 r h       /2
S/2 - 3.14 r^2 = 3.14 r h              /3.14
S/6.28 - r^2 = r h                           /r
h = S/(6.28r) - r

The correct result would be h = S/(6.28*r) - r.

Leader

\(\sf\\S=2\pi r^2+2\pi rh\\\\Subtract\ 2\pi r^2\ on\ both\ sides.\\\\S-2\pi r^2=2\pi rh\\\\Divide\ by\ 2\pi r\ on\ both\ sides.\\\\h= \frac{S}{2\pi r}-\frac{2\pi r^2}{2\pi r}\\\\\\{\boxed{h=\frac{S}{2\pi r}-r}\)

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