$[8$ points$]$ A tank $in$ the shape $of$ a square pyramid, depicted below, has height $20ft$ and $a$

length $of$ the square base equal $to10ft.$ The tank also has a tube extending $5ft$ above the top

$of$ the tank. Set $up,$ but $do$ not solve, $an$ integral that calculates the work done $in$ pumping all

$of$ the water out $oftank(including$ the $5ft$ tube$),if$ only the bottom $10ftof$ the tank $is$ filled

with water. You must show the construction $of$ your integral $as$ a $limitof$ Riemann sums.