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, we can find the radius by dividing the diameter by 2:
\[ r = \frac{d}{2} = \frac{12}{2} = 6 \text{ m} \]
Now, we can substitute the radius into the volume formula:
\[ V = \frac{4}{3} \pi (6)^3 \]
Calculating \( (6)^3 \):
\[ 6^3 = 216 \]
Now substitute this back into the volume formula:
\[ V = \frac{4}{3} \pi \times 216 \]
Now, multiply \( \frac{4}{3} \) by \( 216 \):
\[ \frac{4 \times 216}{3} = \frac{864}{3} = 288 \]
So, the volume of the sphere is:
\[ V = 288\pi \text{ m}^3 \]
Thus, the volume is
\[ \boxed{288\pi} \text{ m}^3 \]
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