What's the volume of a unit n-dimensional sphere as n goes to infinity?

Answer 1

The volume goes to zero. See http://en.wikipedia.org/wiki/Hypersphere

Answer 2

In my opinion a Sphere itself is an n-dimensional figure.
For example take a tetrahedron it can be considered as 4-dimensional figure. And a cube,cuboid, parallelepiped are 6- dimensional figures. When such dimensions are imagined infinitely it generates a Sphere.
Usually, any figure can be represented within 3-dimensions, hence we say any figure more than 2-dimensional as tri-dimensional.

Answer 3

How are you gonna build an n dimentional sphere anyways... the biggest ive seen is where n = 3.. so give it up.. choose another career.. lol