Create a bucket by rotating around the $\displaystyle {y}$-axis the curve $\displaystyle {y}={4}{\ln{{\left({x}-{1}\right)}}}$ from $\displaystyle {y}={0}$ to $\displaystyle {y}={5}$. If this bucket contains a liquid with density $\displaystyle {720}$ kg/m³ filled to a height of $\displaystyle {2}$ meters, find the work required to pump the liquid out of this bucket (over the top edge). Use $\displaystyle {9.8}$ m/s² for gravity.

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