The volume of the sphere is [tex]288 \pi[/tex] cubic meters.
Explanation:
Given that the radius of the sphere is 6 m
We need to determine the volume of the sphere.
Volume of the sphere:
The volume of the sphere can be determined using the formula,
[tex]V=\frac{4}{3} \pi r^{3}[/tex]
Substituting the value [tex]r=6[/tex] in the above formula, we have,
[tex]V=\frac{4}{3} \pi (6)^{3}[/tex]
Simplifying the values, we get,
[tex]V=\frac{4}{3} \pi (216)[/tex]
[tex]V=\frac{864}{3} \pi[/tex]
[tex]V=288 \pi[/tex]
Thus, the volume of the sphere is [tex]288 \pi[/tex] cubic meters.