The formula in solving the volume of a cylinder is Volume = pi*r²*h.
In the problem, the diameter is 24 inches. Since the radius is half of the diameter, therefore r = 24/2, r =12 inches.
As stated in the problem, the height is half of the radius. Therefore, the h=12/2, h=6 inches.
Volume = pi*r²*h
Volume = 3.14 * 12²*6
Volume = 864pi inches² or 2,712.96 inches²
The answer is the letter "B".