Question

An inverted conical tank is 3m tall and 1m in diameter at its widest point. The water
is being pumped out of a spout 2m above the top of the tank. Recall that the density
of water is  = 1000kg/m^3

(a) Find the work needed to empty the tank if it is full. Include units.
(b) Find the work to empty half the tank (assuming it is full to begin with).

Answers

See the reply to the question above this one from "Jen". Find the mass and m*g, the center of mass, and how far you lift the center of mass.
In all these questions if you lower the outlet with a tight outlet hose you can siphon the water out without doing any work at all :) However to play along assume you lift the water 2 meters above the tank top.

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