Please see the attached file for the fully formatted problems.
Consider the sphere x20 + x21 + · · · + x2n = n of radius sqrt(n). Show that the normalized volume of the spherical band where a <= x0 <= b is
Hint: 1 − x =< e^−x will be helpful at one point.
The normalized volume of a spherical band is found. The soluton is detailed and well-presented.