Calculus Q...please help :)

A tank in the shape of an inverted right circular cone has height 6 meters and radius 3 meters. It is filled with 4 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 = 1020 kg/m^3.

Question

Calculus Q...please help :)

A tank in the shape of an inverted right circular cone has height 6 meters and radius 3 meters. It is filled with 4 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 = 1020 kg/m^3.

anonymous · Answer

If we divide the cone up into thin discs of thickness dh then the volume of the thin disc is π(3h/6)²dh and the mass is 1020π(3h/6)²dh

Now integrating mgh from h = 2 to 11 we get:
∫1020π(3h/6)² * 9.8 * h dh  so what's next???