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The formula for the volume of a sphere is V = (4/3)Ï€r^3, where r is the radius. In this case, the diameter of the basketball is 9 inches, so the radius is half of that, which is 4.5 inches.
Plugging in the values into the formula, we get V = (4/3)(3.14)(4.5)^3.
Calculating this, we get V ≈ 381.5 in.^3.
Therefore, the answer is 381.5 in.3.