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The diameter of a basketball rim is 18 inches. A standard basketball has a circumference of 30 inches. What is the distance between the ball and the rim in a shot in which the ball goes exactly in the center of the rim? Show your work.

Since the ball goes exactly in the center of the rim, we can say that the distance between the ball and the rim is half the diameter of the rim.

The diameter of the rim is given as 18 inches, so the radius is half of that: 18 inches / 2 = 9 inches.

Therefore, the distance between the ball and the rim is 9 inches.