A polyethylene balloon at an altitude of \(30,000 \mathrm{~m}\) is filled with helium gas at a pressure of \(10^{-2} \mathrm{~atm}\) and a temperature of \(300 \mathrm{~K}\). The balloon has a diameter of \(10 \mathrm{~m}\), and has numerous pinholes of diameter \(10^{-5} \mathrm{~m}\) each. How many pinholes per square meter of the surface of the balloon must there be if 1 percent of the gas were to leak out in 1 hour?