(Solved): 3 The rectangular cistern (storage tank for rainwater). shown has its top 10ft below ground level. T ...

The rectangular cistern (storage tank for rainwater). shown has its top $$10\mathrm{ft}$$ below ground level. The cistem, currently full, is to be emptied for inspection by pumping its contents to ground lovel. Assime that the water weighs $$62.3{\mathrm{tbit}}^3$$ Gomplele parts a. through d. below. 3. How much woik will it take the emply the cistern? Set up an infegral to find the work done. $$W=$$ How ruchi work does it take to empty the tank? (Round to me nearest integer as needed) b. How long will it take a $$\frac{1}{2}$$-hp pump, rated at 275 ft-lbisec to pump the tank dry? minutes (Round to the noarest integer as needed) c. How long will it take the pump in part b. to empty the tank halfway? (it will be loss than hair the time required to eamply the tank completely.) d. What are the answers to parts a. through $$c$$. in a location where water weighs $$62.14\mathrm{ibit}{}^{3}7$$ Recall the pump is rated at $$275\mathrm{ft}?1\mathrm{b}/\sec$$ In a location where water weighs $$62.14{\mathrm{lbit}}^3$$, it would take of work to empty the tank. The pump can pump the tark ary in minutes Il will take the puimp minutes to empty the tank halfway. (Round to the nearest integer as needed.) What are the answors to parts a. through c. in a location where water woighs $$62.72{\mathrm{lb}}^3{}^{3}7{\mathrm{ibit}}^3$$ ? Recall the pump is rated at 275 fitisisec: In a location where water weighis $$62.72\mathrm{b}/{\mathrm{ft}}^3$$, it would take. of work to empty the tank The pump can pump the tank ofry in minutes it will take the purpp minules to ompty the tank haifway (Round to the nearest integer as needed)