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Volume of Hyperspheres

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

d) Use an n-tuple integral to find the volume enclosed by a hypersphere of radius r in n-dimensional space R^n. (Hint: The formulas are different for n even and n odd.)

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The solution shows how to calculate the volume of a sphere in n dimensions and show the difference between even and odd number of dimensions.

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