Work required to fill a conical tank

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A right circular conical tank of height 3 feet and radius 1 foot at the top is filled with water to a height of 2 feet. Find the work required to pump all the water up and over the top of the tank.

similar triangles : x=y/3

water 62.5 lb/ft^3

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?? am i setting this up right
 
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Please show us how you set it up so that we can check your work. What is the weight of a typical volume element? The incremental work, \Delta W, is the weight of a typical volume element times the distance it has to be raised. Finally, the limits of integration will be the interval over which \Delta y ranges.
 

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