$2.(14$ pts $)$ A water tank is in the shape of an inverted cone. The height of the cone is $6$ m and the radius at the top is $3$ m $.$ The water inside reaches a height of $5$ m $.$ Using the fact that water has a density of $\backslash (1000\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$m$\}^\{3\}\backslash )$ and that the acceleration due to gravity is approximately $\backslash (9\mathrm{.}8\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}^\{2\}\backslash ),$ calculate the total amount of work done in pumping all of the water out of the top of the tank. Leave your answer in exact form $($no decimals$)$ and show all steps!