Answer:
[tex]r = \sqrt{\frac{V}{\pi h}}[/tex]
Step-by-step explanation:
The formula to calculate the volume is:
[tex]V = \pi r^{2} h[/tex]
Where r is the radius and h the height of the cylinder.
We need to isolate r. First step is to move pi and h, they can go to the other side dividing.
[tex]V = \pi r^{2} h\\ \pi r^{2} h = V\\ \pi r^{2} =\frac{V}{h}\\r^{2} =\frac{V}{\pi h}[/tex]
Second step, as radius is with an exponent of two, we can use square root.
[tex]r^{2} =\frac{V}{\pi h}\\\sqrt{r^{2}} = \sqrt{\frac{V}{\pi h}}[/tex]
Finally, we can isolate radius - r
[tex]r = \sqrt{\frac{V}{\pi h}}[/tex]
