Respuesta :

Answer:

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

Step-by-step explanation:

All we need to do is Simplify.
[tex]V = \frac{1}{3} \pi r^{2} h[/tex]

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

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

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

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

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