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To find the volume of a sphere, we use the formula V = (4/3) * π * r^3, where r is the radius of the sphere.
Since the basketball has a diameter of 9 inches, the radius is half the diameter, which is 9/2 = 4.5 inches.
Plugging in the values into the formula, we get V = (4/3) * 3.14 * (4.5)^3.
Simplifying, we have V = (4/3) * 3.14 * 91.125.
Calculating, V = 381.51 inches cubed.
Rounding to the nearest tenth, the answer is 381.5 in.3.
Therefore, the correct answer is 381.5 inches cubed.