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NASA is experimenting with balloons for ...

NASA is experimenting with balloons for use on ultralong duration (100 days) flight around the Earth. Consider a balloon that has the shape of a cylindrical chamber which is 35 m tall with 30 m radius, and is made of extremely light plastic. If our model cylindrical balloon is filled with helium gas, what is the mass of the maximum payload it could lift from the Earth's surface? (Given `rho_(air)=1.29(kg)/(m^3)`. `rho_He)=0.18(kg)/(m^3)`. Why would NASA design the balloon so large?

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