According to the given sphere, the diameter is 12 in, which means its radius is 6 in. Let's find its volume
[tex]V=\frac{4}{3}\cdot\pi\cdot r^3[/tex]Where r = 6.
[tex]\begin{gathered} V=\frac{4}{3}\cdot3.14\cdot(6)^3 \\ V\approx904.32in^3 \end{gathered}[/tex]