Question

Solve for indicated variable (h) : S=2(pi)r(squared) + 2(pi)rh

Answer 1

S = 2πr² + 2πrh


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


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


`h = (S)/(2 \pi r) - r`

Answer 2

`S=2\pi r^2+2\pi rh\\\\2\pi r^2+2\pi rh=S\ \ \ \ |subtract\ 2\pi r^2\ from\ both\ sides\\\\2\pi rh=S-2\pi r^2\ \ \ \ |divide\ both\ sides\ by\ 2\pi r\\\\\boxed{h=(S-2\pi r^2)/(2\pi r)}`