Airplane cabins are pressurized to prevent passengers from developing altitude sickness during flight. Your altimeter watch, which uses pressure to determine altitude, indicates a cabin altitude of \(2500 \mathrm{~m}\) even though the captain has just announced that the airplane is flying at an altitude of \(10,000 \mathrm{~m}\). If you ignore the motion of the airplane, what do you calculate to be the integral of the magnitude of the force exerted by the air on the fuselage of the airplane, which you estimate to be a cylinder of length \(60 \mathrm{~m}\) and diameter \(6.0 \mathrm{~m}\) ?