You can put this solution on YOUR website!
From what I understand in terms of your questions, you are asking to have formula expressed in terms of r.
The formula for the right circular cylinder is V = ( pi * r^2) h
I will adjust this to put h in terms of r:
V = ( pi * r^2 ) 4r
V = 4 *Pi *r^3
This works to V/4 *pi = r^3
In terms of r, we should obtain r = the cubed root of V/ 4 * pi.
To check, I used a radius of 3 in the original formula to obtain the volume or 339.29
Working backwards from the cubed root of V/4 * pi, using 339.29 for V, I obtained a r of 3.
I think the equation you are looking for in this problem is r = cubed root of V / 4 * pi.