find the volume of a sphere with a diameter of 12 m

To find the volume of a sphere, we use the formula:

V = (4/3) * π * r^3

where r is the radius of the sphere. Since the diameter is given as 12 m, the radius is half of the diameter, so the radius is 6 meters.

Now, plug this radius value into the formula:

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

Therefore, the volume of the sphere with a diameter of 12 meters is 288π cubic meters.