To find the volume of a sphere, you can use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
where \( r \) is the radius of the sphere.
Given that the diameter of the sphere is 12 m, we can find the radius by dividing the diameter by 2:
\[ r = \frac{12}{2} = 6 \text{ m} \]
Now, substitute the radius into the volume formula:
\[ V = \frac{4}{3} \pi (6)^3 \]
Now calculate \( 6^3 \):
\[ 6^3 = 216 \]
So, the volume becomes:
\[ V = \frac{4}{3} \pi (216) \]
Next, we multiply:
\[ V = \frac{864}{3} \pi = 288\pi \]
Thus, the volume of the sphere is:
\[ \boxed{288\pi} \text{ m}^3 \]