(Solved): The conical tank shown here is filled with olive oil weighing \( 52 \mathrm{lb} / \mathrm{ft}^{3} ...

The conical tank shown here is filled with olive oil weighing \( 52 \mathrm{lb} / \mathrm{ft}^{3} \). How much work does it take to pump all of the oil to the rim of the tank? \( \mathrm{W}=\quad \mathrm{ft}-\mathrm{lb} \) (Round to the nearest whole number as needed.)