Question

I need help with my algebra

Answer 1

Ok, so

The formula of the surface area of a cylinder is given by:

$S=2\pi r^2+2\pi rh$

We want to solve this equation for h. This is:

$\begin{gathered} S-2\pi r^2=2\pi rh \\ \frac{S-2\pi r^2}{2\pi r}=h \\ \frac{S}{2\pi r}-r=h \end{gathered}$

Therefore,

h = (S)/(2πr) - r