To find the volume of the sphere enclosed by the cylinder, we first need to find the radius of the sphere.
The diameter of the cylinder is given as 12 cm, so the radius of the cylinder is half of that, which is 6 cm.
Now, the radius of the sphere will be the same as the radius of the cylinder, which is 6 cm.
The formula for the volume of a sphere is given by V = (4/3)πr^3, where r is the radius of the sphere.
Substitute r = 6 into the formula:
V = (4/3)π(6)^3
V = (4/3)π(216)
V = 288π
Therefore, the volume of the sphere enclosed by the cylinder is 288π cm^3, which is approximately 903.77 cm^3.
None of the options provided match the correct volume.
Consider the sphere enclosed by the cylinder if the diameter is 12 cm what’s the volume? A. 36rr cm^3 b. 72rr cm^3 c. 216rr cm^3 d. 432rr cm^3
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