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The correct answer is 190.8 in.3.
Explanation:
The formula for the volume of a sphere is V = (4/3)Ï€r^3, where r is the radius of the sphere.
Since the diameter of the basketball is 9 inches, the radius is half of that, so r = 4.5 inches.
Plugging this into the formula, we get V = (4/3)(3.14)(4.5)^3 = 190.8 in.3.
Therefore, 190.8 in.3 of air is needed to fill the basketball.