Answer:
The radius of the cylinder is 13.0 inches.
Step-by-step explanation:
The volume of a cylinder is given by:
[tex] V = \pi r^{2}h [/tex]
Where:
V: is the volume = 4775.94 in³
r: is the radius =?
h: is the height = 9 in
Hence, by solving the above equation for "r" we have:
[tex] r = \sqrt{\frac{V}{\pi h}} = \sqrt{\frac{4775.94 in^{3}}{\pi 9 in}} = 13.0 in [/tex]
Therefore, the radius of the cylinder is 13.0 inches.
I hope it helps you!