Work required to fill a conical tank

[nameVoid]

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

?? am i setting this up right

 

[Mark44]

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.