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    Hyperspheres : Volume of a Sphere with Radius 'r'

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    Finding formulas for the volume enclosed by a hypersphere in n-dimensional space.

    a) Use a triple integral and trigonometric substitution to find the volume of a sphere with radius r.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:37 pm ad1c9bdddf
    https://brainmass.com/math/trigonometry/hyperspheres-volume-of-a-sphere-with-radius-r-33062

    Solution Summary

    The volume of a sphere is derived using a triple integral and a trigonometric substitution. The solution is detailed and well presented.

    $2.19

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