A hot-air balloon weighs 470 lb, including the weight of the balloon, the basket, and one...

 

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A hot-air balloon weighs 470 lb, including the weight of the balloon, the basket, and one person. The air outside the balloon has a temperature of 73 °F, and the heated air inside the balloon has a temperature of 162 °F. Assume the inside and outside air to be at standard atmospheric pressure of 14.5 psia. (a) Determine the required volume of the balloon to support the weight. (b) If the balloon had a spherical shape, what would be the required diameter? (a) V= i (b) d= i ft3 ft A hot-air balloon weighs 470 lb, including the weight of the balloon, the basket, and one person. The air outside the balloon has a temperature of 73 °F, and the heated air inside the balloon has a temperature of 162 °F. Assume the inside and outside air to be at standard atmospheric pressure of 14.5 psia. (a) Determine the required volume of the balloon to support the weight. (b) If the balloon had a spherical shape, what would be the required diameter? (a) V= i (b) d= i ft3 ft