Led Inverted Cone

A tank in the shape of an inverted right circular cone (so that the point is at the bottom) has height 5 meter?

A tank in the shape of an inverted right circular cone (so that the point is at the bottom) has height 5 meters and radius 11 meters. It is filled with 1 meters of hot chocolate.
Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. Note: the density of hot chocolate is delta = 1500 kg/m^3, and since the measurements are metric, you need to multiply the mass being lifted by 9.8 to convert it to weight.
First give the integrand to be evaluated, expressed in terms of h, the height from the bottom of the inverted cone.

This is for a calculus class and I need to find the work as well as input the integrand. There have been similar questions like this asked on here but their answers were inconsistent.
My textbook led me to believe:
Integral of: (9.8)(1500)pi*h(11/5(5-h))^2 from 1 to 5
was the correct answer, but it apparently is not.

The trick here is that all the chocolate can be considered to be located at its center of mass. The problem then becomes one of calculating the work to raise the mass of the chocolate the distance from the CM to the height of the rim of the tank.
See the link below for a good clue for finding the location of the CM of a circular cone or frustum of same.

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