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