A Tank 5 Feet Long Has Cross-Sections N the Shape $y = x ^ { 2 } , \text { for } - 2 \leq x \leq 2$

Essay

A tank 5 feet long has cross-sections n the shape of a parabola $y = x ^ { 2 } , \text { for } - 2 \leq x \leq 2$ (where x and y are in feet). Suppose that the tank is filled to a depth of 3 feet with liquid weighing 15 lb/ft³. How much work is required to empty the tank by pumping the liquid over the edge of the tank?