Explore BrainMass

Hyperspheres : Volume of a Sphere with Radius 'r'

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.

Solution Summary

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