Answer:
[tex]r = \sqrt{ \frac{3V}{\pi h}} [/tex]
Step-by-step explanation:
[tex]V = \frac{1}{3} \pi {r}^{2} h[/tex]
First multiply through by 3 to eliminate the fraction
That's
[tex]3V = 3 \times \frac{1}{3} \pi {r}^{2} h \\ 3V = \pi {r}^{2} h[/tex]
Divide both sides by πh
That's
[tex] \frac{3V}{\pi h} = \frac{\pi {r}^{2}h }{\pi h} \\ {r}^{2} = \frac{3V}{\pi h}[/tex]
Find the square root of both sides to make r stand alone
We have
[tex] \sqrt{ {r}^{2} } = \sqrt{ \frac{3V}{\pi h}} [/tex]
We have the final answer as
[tex]r = \sqrt{ \frac{3V}{\pi h}} [/tex]
Hope this helps you
