Respuesta :

Answer:

[tex]\sqrt{\frac{3V}{\pi h} }[/tex]

Step-by-step explanation:

We have [tex]V = \frac{1}{3} \pi r^2h[/tex].

We can multiply both sides by 3 to get:

[tex]3V = \pi r^2h[/tex]

Divide by [tex]\pi[/tex] by both sides

[tex]\frac{3V}{\pi} = r^2h[/tex]

And divide by h by both sides:

[tex]\frac{3V}{\pi h} = r^2[/tex]

And finally take the square root of both sides.

[tex]\sqrt{\frac{3V}{\pi h} } = r[/tex]

Done!