The formula of the volume of the sphere:
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
We have a diameter. It's equal double radius.
Therefore
[tex]2r=9\dfrac{1}{2}\\\\2r=9.5\ \ \ |:2\\\\r=4.75\ in.[/tex]
[tex]V=\dfrac{4}{3}\pi\cdot(4.75)^3\approx449\ in^3.[/tex]
Answer: D. 449 cubic inches.
