B. 72π cm ^3
Explanation:
The height of the cylinder is equal to the diameter of the sphere, which is 12 cm. Therefore, the radius of the cylinder is half of the diameter, which is 6 cm.
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height.
Plugging in the values, we get:
V = π(6)^2(12)
V = π(36)(12)
V = 432π
Therefore, the volume of the cylinder is 432π cm^3.
Consider the sphere enclosed by the cylinder. If the diameter of the sphere is 12 cm, what is the volume of the cylinder?
Responses
A . 36π cm ^3
B. 72π cm ^3
C. 216π cm^ 3
D. 432π cm^3
1 answer