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A tank full of water has the shape of a paraboloid of revolution as shown in the figure; that is, the shape is obtained by rotating a parabola about a vertical axis.

  1. If its height is 4 ft and the radius at the top is 4 ft, find the work required to pump the water out of the tank?

  2. After 4000 ft-lb work has been done, what is the depth of the water remaining in the tank?

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Sixta Kovacek
Sixta KovacekLv2
29 May 2020

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