A tank in the shape of an inverted right circular cone has height 5 meters and radius 4 meters. It is filled with 3 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. The density of hot chocolate is $\delta = 1070 \ \textrm{kg}/\textrm{m}^3.$ Your answer must include the correct units.

Work =