Question

S=2*3.14r^2 2*3.14rh for h

Answer 1

`\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= (S)/(2\pi r)-(2\pi r^2)/(2\pi r)\\\\\\{\boxed{h=(S)/(2\pi r)-r}`

Answer 2

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/(6.28*r) - r

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