Question

Marta is solving the equation S = 2Πrh + 2Πr2 for h. Which should be the result? – r = h = h S – = h S – = h

Answer 1

$\bf S=2\pi rh+2\pi r^2\implies S-2\pi r^2=2\pi rh\implies \cfrac{S-2\pi r^2}{2\pi r}=h \\\\\\ \textit{and if we distribute the denominator} \\\\\\ \cfrac{S}{2\pi r}-\cfrac{2\pi r^2}{2\pi r}=h\implies \cfrac{S}{2\pi r}-r=h$

Answer 2

we are given

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

Since, we have to solve for h

so, we will isolate h on anyone side

$S-2\pi r^2=2\pi r h+2\pi r^2-2\pi r^2$

$S-2\pi r^2=2\pi r h$

divide both sides by 2pi*r

$\frac{S-2\pi r^2}{2\pi r} =\frac{2\pi *rh}{2\pi *r}$

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

so, we get

$h=\frac{S-2\pi r^2}{2\pi r}$...............Answer