A container in the shape an inverted cone has radius $4$ ft $,$ the sides are $15$ ft high, is filled to a depth of $10$ ft with water. How much work is required to pump all of the water out over the top? $($use the fact that water weighs $\backslash (62\mathrm{.}5\backslash$mathrm$\{$lbs$\}/\backslash$mathrm$\{$ft$\}^\{3\}\backslash ).)$ J answer