Find the volume of a sphere with a diameter 12 m Leave your answer in terms of pi.

Answer 1

The formula for the volume of a sphere is V = (4/3) πr^3, where r is the radius of the sphere.

Given that the diameter of the sphere is 12 m, the radius is half of the diameter, which is 12/2 = 6 m.

Now, substitute the radius into the volume formula:

V = (4/3) π(6^3)
= (4/3) π(216)
= (4/3) * 216 * π
= 288 * π

Therefore, the volume of the sphere is 288π cubic meters.