The lateral surface area of a cylindrical tube with a height of 6 cm is $48\pi$ square centimeters. In cubic centimeters, what is the tube's volume? Express your answer in terms of $\pi$.
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<|im_start|>user
The lateral surface area of a cylindrical tube with a height of 6 cm is $48\pi$ square centimeters. In cubic centimeters, what is the tube's volume? Express your answer in terms of $\pi$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
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user
96\pi
The lateral surface area of a cylindrical tube with a height of 6 cm is $48\pi$ square centimeters. In cubic centimeters, what is the tube's volume? Express your answer in terms of $\pi$.
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