Create a bucket by rotating around the y axis the curve y = 2ln(x-3) from y = 0 to y = 6. If this bucket contains a liquid with density 840 kg/m3 filled to a height of 2 meters, find the work required to pump the liquid out of this bucket (over the top edge). Use 9.8 m/s2 for gravity.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter7: Conservation Of Energy
Section: Chapter Questions
Problem 30P
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Create a bucket by rotating around the y axis the curve y = 2ln(x-3) from y = 0 to y = 6. If this bucket contains a liquid with density 840 kg/m3 filled to a height of 2 meters, find the work required to pump the liquid out of this bucket (over the top edge). Use 9.8 m/s2 for gravity.

Work  =                           Joules

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