To find the volume \( V \) of a sphere, you can use the formula:
\[ V = \frac{4}{3} \pi r^3 \]
where \( r \) is the radius of the sphere.
Given that the diameter of the sphere is 3 inches, the radius \( r \) would be half of that:
\[ r = \frac{3}{2} = 1.5 \text{ inches} \]
Substituting this value into the volume formula gives:
\[ V = \frac{4}{3} \pi (1.5)^3 \]
Therefore, the correct equation to find the volume \( V \) of the sphere in cubic inches is:
\[ V = \frac{4}{3} \pi (1.5)^3 \]
This corresponds with the option:
V = \(\frac{4}{3} \pi (1.5)^3\).