A cylinder has a diameter of 24 inches. If its height is half its radius, what is the volume of the cylinder in cubic inches? A. 72π cu. in. B. 864π cu. in. C. 3,456π cu. in. D.

B

Step-by-step explanation:

The volume (V) of a cylinder is

V = πr²h (r is the radius and h the height)

Given diameter = 24, the radius = 0.5 * 24 = 12

and h = 0.5 * 12 = 6

V = π * 12² * 6 = π * 144 * 6 = 864π in³ → B