Golf balls are packaged by stacking three balls vertically in a box. Given that the height of the box is 13.5 cm, and that the golf balls are touching each other and the ends of the box, what is the number of centimeters in the circumference of each golf ball? Express your answer as a common fraction in terms of $\pi$.

Note: To measure the circumference, take the largest circle on the surface of the golf ball.
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You are a helpful assistant.<|im_end|>
<|im_start|>user
Golf balls are packaged by stacking three balls vertically in a box. Given that the height of the box is 13.5 cm, and that the golf balls are touching each other and the ends of the box, what is the number of centimeters in the circumference of each golf ball? Express your answer as a common fraction in terms of $\pi$.

Note: To measure the circumference, take the largest circle on the surface of the golf ball.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
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user
\frac{9\pi}{2}
Golf balls are packaged by stacking three balls vertically in a box. Given that the height of the box is 13.5 cm, and that the golf balls are touching each other and the ends of the box, what is the number of centimeters in the circumference of each golf ball? Express your answer as a common fraction in terms of $\pi$.

Note: To measure the circumference, take the largest circle on the surface of the golf ball.
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