The baseball is a sphere with diameter 74.7 mm.
The expression for the volume of a sphere is:
[tex]V=\frac{4}{3}\pi r^3[/tex]
We express the radius as half the diameter (74.7/2=37.35) and solve:
[tex]\begin{gathered} V=\frac{4}{3}\pi r^3 \\ V=\frac{4}{3}\pi\cdot(\frac{74.7}{2})^3 \\ V=\frac{4}{3}\pi\cdot(37.35)^3 \\ V=\frac{4}{3}\pi\cdot52104,090375 \\ V=(\frac{4}{3}\cdot52104,090375)\cdot\pi \\ V=69472.1205\pi \\ V\approx69472\pi \end{gathered}[/tex]
Answer: 69,472pi mm^3 (first option)
