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

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

Since the diameter is given as 12m, the radius is half of the diameter, so r = 12m/2 = 6m.

Substituting this value of radius into the formula, we have V = (4/3)π(6m)^3.

Simplifying, V = (4/3)π(216m^3).

Therefore, the volume of the sphere is 288π m^3.