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Help!! Suppose a wealthy entrepreneur commissions the design of a spherical spaceship to house a small group for a week in orbit around the Earth. The designer allocates 1000 ft3 for each person, plus an additional 4073.5 ft3 for various necessary machines. As in a recreational vehicle, the personal space is largely occupied by items such as beds, shower and toilet facilities, and a kitchenette. The diameter of the ship is 26.8 ft. What is the volume of the spaceship, and for approximately how many people is the ship designed?
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