Question

Solve the equation for the height?

Answer 1

Answer:

            $\bold{h=\dfrac{S-2\pi r^2}{2\pi r}=\dfrac{S}{2\pi r}-r}$

Step-by-step explanation:

$\bold{S=2\pi r^2+2\pi rh}\\\\\bold{2\pi r^2+2\pi rh\ =\ S}\\\\{}\qquad -2\pi r^2\quad\ \ -2\pi r^2\\\\{}\quad \bold{2\pi rh\ =\ S-2\pi r^2}\\\\\div(2\pi r)\quad\ \div(2\pi r)\\\\\bold{h=\dfrac{S-2\pi r^2}{2\pi r}=\dfrac{S}{2\pi r}-r}$