To find the volume of a cone, we can use the formula:
Volume = (1/3) * pi * r^2 * h
Where r is the radius of the base of the cone, h is the height of the cone, and pi is approximately equal to 3.14.
Plugging in the given values, we have:
Volume = (1/3) * 3.14 * 6.5^2 * 12
= (1/3) * 3.14 * 42.25 * 12
= (1/3) * 513.1
= 171.03
Therefore, the volume of the cone is approximately 171.03 cubic inches, which is closest to answer choice C, "414.7 in ³."