Given:
The diameter of the sphere is 9 inches.
[tex]\text{Radius}=\frac{diameter}{2}=\frac{9}{2}\text{inches}[/tex]The volume of the sphere is
[tex]V=\frac{4}{3}\pi r^3[/tex]Substitute r =9/2 in the formula, we get
[tex]V=\frac{4}{3}\times3.14\times(\frac{9}{2})^3[/tex][tex]V=\frac{4}{3}\times3.14\times\frac{9\times9\times9}{2\times2\times2}[/tex][tex]V=3.14\times\frac{3\times9\times9}{2}[/tex][tex]V=381.5[/tex][tex]V=382in^3[/tex]Hence the volume of the ballon is 382 cubic inches.