Answer:
[tex]h = \frac{3v}{\pi {r}^{2} }[/tex]
Step-by-step explanation:
[tex]v = \frac{1}{3} \pi {r}^{2} h[/tex]
To solve for h multiply through by 3 to eliminate the fraction
That's
[tex]3v = \pi {r}^{2} h[/tex]
Divide both sides by πr² to make h stand alone
[tex] \frac{\pi {r}^{2} h}{\pi {r}^{2} } = \frac{3v}{\pi {r}^{2} } [/tex]
We have the final answer as
[tex]h = \frac{3v}{\pi {r}^{2} }[/tex]
Hope this helps you
