# Calculus

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 ρ = 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)

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