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25 February, 18:18

Consider a cylindrical crew module with a diameter of 5 meters, a length of 15 meters, and a crew of 6 people. The module contains air that is at

standard sea-level atmospheric pressure and temperature. The sea level density of air at 20 degrees Celsius is 1.204 kg/m3.

What is the volume of the crew module? Provide your answer in m' with at least 2 decimal places.

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  1. 25 February, 21:19
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    294.524 m^3

    Explanation:

    The volume of a cylinder is given by the formula ...

    V = πr^2h

    For a radius of 2.5 m and a length of 15 m, the volume is ...

    V = π (2.5 m) ^2 (15 m) = 93.75π m^3 ≈ 294.524 m^3

    The volume is about 294.52 cubic meters.
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