(Solved): nhanced Assignment The rectangular cistern (storage tank for rainwater) shown has its top \( 5 \mat ...

nhanced Assignment The rectangular cistern (storage tank for rainwater) shown has its top \( 5 \mathrm{ft} \) below ground level. The cistern, currently full, is to be emptied for inspection by pumping its contents to ground level. Assume that the water weighs \( 62.2 \mathrm{lb} / \mathrm{ft}^{3} \). Complete parts a. through d. below. a. How much work will it take the empty the cistern? Set up an integral to find the work done. \[ W=\int_{5}^{15}(62.2)(294) y d y \] How much work does it take to empty the tank? (Round to the nearest integer as needed.) b. How long will it take a \( \frac{1}{2}-\mathrm{hp} \) pump, rated at \( 325 \mathrm{ft}-\mathrm{b} / \mathrm{sec} \) to pump the tank dry? minutes (Round to the nearest integer as needed.)