Answer:
C. [tex]\dfrac{4}{3}\pi\cdot(4.75)^3\ cm^3[/tex]
Step-by-step explanation:
The volume of the ball with radius R can be calculated using formula
[tex]V=\dfrac{4}{3}\pi R^3[/tex]
A basketball has a diameter of 9.5 cm, so its radius is
[tex]R=\dfrac{D}{2}=\dfrac{9.5}{2}=4.75\ cm[/tex]
Hence, the volume of air the basketball can hold is
[tex]V=\dfrac{4}{3}\pi\cdot(4.75)^3\ cm^3[/tex]
