Answer:
7 in.
Step-by-step explanation:
Volume formula for a circular cylinder is
[tex]V = \pi r^{2} h[/tex]
[tex]461.58 = 3.14(12)r^{2}[/tex]
[tex]r^{2} = \frac{461.58}{12(3.14)}[/tex]
= 12.25
[tex]r = \sqrt{12.25} = 3.5[/tex]
diameter = 2(3.5) = 7 in.
