Respuesta :

deku
Since we are solving for h, the equation:

V = πr²h

...divides πr² to the other side. Thus, it becomes....

[tex] \frac{V}{ \pi r^2} [/tex] = h

Which can be rewritten as....

h = [tex] \frac{V}{ \pi r^2} [/tex]
Hey!

First, let's write the problem.
[tex]V=\pi r^2h[/tex]
To make it easier, let's switch sides.
[tex]\pi r^2h=V[/tex]
Divide both sides by [tex]\pi r^2[/tex]
[tex]\frac{\pi r^2h}{\pi r^2}=\frac{V}{\pi r^2}[/tex]

Our final answer would be,
[tex]h=\frac{V}{\pi r^2}[/tex]

Thanks!
-TetraFish