A balloon has a weight (including crew but not gas) of \(2.2 \mathrm{kN}\) and a gas-bag capacity of \(566 \mathrm{~m}^{3}\). At the ground it is partially inflated with \(445 \mathrm{~N}\) of helium. How high can this balloon rise in the U.S. Standard Atmosphere (Appendix A) if the helium always assumes the pressure and temperature of the atmosphere?