So what you'd want to do is find the volume of the sphere, since you're finding out how much paint it can hold. The volume can be found using the equation:
\(V = \frac{4}{3} \pi r^3\)
So, we're given the diameter. Since d = 2r, we can make that r = (1/2)d to find the radius, which would give us 0.75.
Plugging that into our volume equation gives:
\(V = \frac{4}{3} \pi (\frac{3}{4})^3\)
We can simplify that down to:
\(V = \frac{9}{16} \pi\)
So the paintball holds (9/16)pi units^3 of paint.
