Help! A cone with height 12 ft and radius 4 ft, pointing downward, is filled wit

Question

Help!

A cone with height 12 ft and radius 4 ft, pointing downward, is filled with water to a depth of 3 ft. The density of water is 62.4 lb/ ft3. Consider a slice of water that is Delta h ft thick and located h ft from the bottom of the cone. Write an expression giving the work required to pump the s lice out over the top. Give your answer using the form below. Density middot Volume of slice Displacement of slice Density = lbs/ ft3 Volume of slice = ft3 Displacement of slice = ft Use an integral to find the exact work required to pump all the water out over the top. ft-lb

Explanation / Answer

A) DENSITY will same as that of water=62.4 lb/ft^3

Volume = pi*(h/3)^2*(delta h)

=pi*h^2*(delta h)/9.

displacement= 12 ft.

B) work done= change in potential energy

=mg(2h/3)

=pVg(2h/3)

=983627.1306

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