I need some help on this word problem.

A water tank is in the shape of a right circular cone of altitude 10 feet and base radius 5 feet, with it's vertex at the ground. If the tank is full, find the work done in pumping all of the water out the top of the tank.

Note: The weight of water is not given so I assume it is the standard 62.4pi.

Would I need to slice the interval [0,10] or do I need to factor in the base radius?

Is this close