A storage tank has the shape of an inverted circular cone with height $15$ m and base radius of $5$ m$.$ It is filled with water to a height of $12$ m$.$ Find the work required to empty the tank by pumping all of the water to the top of the tank. $($The density of water is$1000$ kg$/$m$3.$

Assume

g $=9\mathrm{.}8$ m$/$s$2$ is the acceleration due to gravity. Round your answer to the nearest integer.$)$