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. Since the diameter is given as 12 m, we first find the radius:
\[ r = \frac{diameter}{2} = \frac{12 , \text{m}}{2} = 6 , \text{m} \]
Now, we 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 substituting this value back into the volume formula:
\[ V = \frac{4}{3} \pi (216 , \text{m}^3) \]
Calculating:
\[ V = \frac{864}{3} \pi , \text{m}^3 = 288 \pi , \text{m}^3 \]
Thus, the volume of the sphere is:
\[ \text{The volume is } 288\pi , \text{m}^3. \]