A pressure vessel of radius 11.0 in is filled with a gas at a pressure of 550.0 psi (gauge). The top of the vessel is secured by an end cap of radius 18.2 in, of weight 32.5 lbf, and held in place by 14 bolts. What is the total force exerted upwards on the lid by the gas? What is the force exerted by the atmosphere downward on the end cap? What is the net force exerted on each bolt holding the end cap in place? If the maximum force one bolt can withstand is 32505 lbf, how many bolts can be removed safely from the pressure vessel at the above conditions before the end cap blows off?