# 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 is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word XP Format, while the other is in Adobe ...

#### Solution Summary

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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