You are in charge of the evacuation and repair of a storage tank shaped like a horizontal circular cylinder and buried 4 meters underground. The length of the cylinder is 5 meters and the radius is 2 meters. The storage tank is full of benzene (density 876 kg/m3 ). A firm you contracted says it can empty the tank for 15 cents per Joule of work. Find the work required to empty the tank by pumping the benzene to an outlet 4 meters above the top of the tank. If you have $150, 000 budgeted for the job, can you afford to hire the firm? Calculate the total work as an integral.