Question

Solve the equation for the height?

Answer 1

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

Explanation:

`\bold{S=2\pi r^2+2\pi rh}\\\\\bold{2\pi r^2+2\pi rh\ =\ S}\\\\{}\qquad -2\pi r^2\quad\ \ -2\pi r^2\\\\{}\quad \bold{2\pi rh\ =\ S-2\pi r^2}\\\\/(2\pi r)\quad\ /(2\pi r)\\\\\bold{h=(S-2\pi r^2)/(2\pi r)=(S)/(2\pi r)-r}`