A tank $18$ m long has triangular ends, $8$ m wide at the top, and $11$ m tall, similar to the one pictured below $($not to scale$)$

If the tank starts full of water, set up an integral to find the work required to pump all the water out over the top.

Recall the density of water is $1000\frac{(kg)}{m^3},$ and gravity is $g=9\mathrm{.}8\frac{(m)}{s^2}.$