The radius of the cylinder is half the diameter, so it is 12 inches. The height is half the radius, so it is 6 inches. The formula for the volume of a cylinder is V = πr^2h, so plugging in the values we get:
V = π(12^2)(6) = 864π
Therefore, the correct answer is B. 864π cubic inches.
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.
6,912π cu. in.
1 answer