A hot-air balloon must be designed to support basket, cords, and one person for a total weight of 1300 N. The balloon material has a mass of 60 g / m^2. Ambient air is at 25^∘C and 1 atm. The hot air inside the balloon is at 70^∘C and 1 atm. What diameter spherical balloon will just support the total weight? Neglect the size of the hot-air inlet vent.
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