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The volume of a sphere can be calculated using the formula V = (4/3)πr³, where r is the radius of the sphere.
Given that the diameter of the basketball is 9 inches, the radius (r) can be calculated as half of the diameter, which is 4.5 inches.
Substitute the radius into the formula:
V = (4/3) x 3.14 x 4.5³
V = (4/3) x 3.14 x 91.125
V = 381.47 cubic inches
Rounded to the nearest tenth, the amount of air needed to fill a basketball is 381.5 inches cubed.
Therefore, the correct answer is:
381.5 inches cubed.