Answer: Option C.
Step-by-step explanation:
1. To solve this problem you must apply the formula for calculate the volume of a sphere, which is shown below:
[tex]V=\frac{4}{3}r^{3}\pi[/tex]
Where r is the radius of the sphere.
2. The volume of the brown basketball is:
[tex]V_1=\frac{4}{3}(6in)^{3}\pi=288\pi[/tex][tex]in^{3}[/tex]
3. The volume of the orange basketball is:
[tex]V_2=\frac{4}{3}(9in)^{3}\pi=972\pi[/tex][tex]in^{3}[/tex]
4. Then to calculate how much more air the orange basketball holds than the brown basketball, you must subtract the volumes. So, the result is:
[tex]V=V_2-V_1\\V=972\pi \ in^{3}-288\pi \ in^{3}\\V=684\pi\ in^{3}[/tex]
