To find the volume of the cylinder, we first need to determine the radius of the sphere, which is half of its diameter. In this case, the radius of the sphere is 6 cm.
Since the cylinder is enclosed by the sphere, the height of the cylinder will be the same as the diameter of the sphere, which is 12 cm.
The formula for the volume of a cylinder is 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 cubic centimeters.
Consider the sphere enclosed by the cylinder If the diameter of the sphere is 12 cm, what is the volume of the cylinder?
1 answer
1 answer