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Question: i need the correct answer with whole steps thanks...

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Problem 8 Balloons are often filled with helium gas because it weighs only about one-seventh of what air weighs under identical conditions. The buoyancy force, which can be expressed as FbPairgVbal, Will push the balloon upward (a) If the balloon has a diameter of 15 m and carries eight people, 75 kg each, determine the acceleration of the balloon when it is first released. (b) The change in air density with altitude can be approximated up to 10km using a linear function Pair 1.173 - 8 x 10-5h where h is the altitude in m. At what theoretical altitude the balloon will stop climbing upwards? Assume the density of air is 1.173 kg/m3 at ground level, and neglect the weight of the ropes and the cage.

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