Find the volume of a sphere with a diameter 12 m. Leave your answer in terms of pi.
To find the volume of a sphere, we can use the formula:
V = (4/3)πr³
Given the diameter of the sphere is 12 m, we can find the radius by dividing the diameter by 2:
r = d/2 = 12/2 = 6 m
Now, we can substitute the value of the radius into the volume formula:
V = (4/3)π(6)³
= (4/3)π(216)
= 288π
Therefore, the volume of the sphere is 288π cubic meters.