An aquarium 3 m long, 1 m wlde, and 1 m deep ls full of water. Find the work needed to pump half of the water out of the aquarium. (Use 9.3 mfs2 for g and the fact that the density of water is 1,000 kgfm3.] Show how' to approximate the required work [in J] by a Riemann sum. [Let x be the height in meters below the top of the tank. Enter xi" as xi.) n lim ( )Ax nuo _ i=1 Express the work (in J) as an integral in terms of)! [in rm]. l )6\" Evaluate the integral [ln J]. J