For this case we have the following equation:
[tex]V = \pi * r ^ 2 * h[/tex]
We must solve the equation for the variable r:
We divide by[tex]\pi * h[/tex] on both sides of the equation:
[tex]\frac {V} {\pi * h} = r ^ 2[/tex]
Applying square root to both sides of the equation:
[tex]r = \pm \sqrt {\frac {V} {\pi * h}}[/tex]
As the variable "r" represents the radius of a cylinder we choose the positive value:
[tex]r = \sqrt {\frac {V} {\pi * h}}[/tex]
Answer:
[tex]r = \sqrt {\frac {V} {\pi * h}}[/tex]
