Finding formulas for the volume enclosed by a hypersphere in n-dimensionalspace.
c) Use a quadruple integral to find the hypervolume enclosed by the hypersphere x^2 + y^2 + z^2 + w^2 = r^2 in R^4. (Use only trigonometric substitution and the reduction formulas for ∫sin^n(x)*dx or ∫cos^n(x)*dx.)
Solution Summary
The volume of a hypersphere is found. The solution is detailed and well presented.
Volume of a Hypersphere : n-Tuple Integral. Please do #4. ... Please see the attached file. The volume of a hypersphere is found in this well presented solution. ...