Find the ratio of the height h of a cushion on a snooker table to the radius

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Find the ratio of the height h of a cushion on a snooker table to the radius r of a ball as shown in figure, such that when the ball hits the cushion with a pure rolling motion it rebounds with a pure rolling motion. (Assume that the force exerted on the ball by the cushion is horizontal during the impact and that the ball hits the cushion normally.)

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