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A Solid Is Generated by Revolving the Region Bounded By y

question 102

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A solid is generated by revolving the region bounded by y=112x2 and y=12y = \frac { 1 } { 12 } x ^ { 2 } \text { and } y = 12 about the y-axis. A hole, centered along the axis of revolution, is drilled through this solid so that one-fourth of the volume is removed. Find the diameter of the hole. Round your answer
To three decimal places.


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