The area of a circle of radius one can be computed with an integral. Similarly, the volume of a three dimensional sphere of radius one can be found with a double

integral. It is well known that one can generalize the concept of a sphere volume (and a circle area) into a higher or lower number of spatial dimensions. These

hypothetical objects are called n-balls. The “n” represents the number of dimensions. For, example a four dimensional sphere of radius one has a

“hyper-volume”.

I used Mathematica to evaluate the infinite sum of the volume of all even numbered n-balls of radius one (starting at n equals zero) and got a very fun answer.

**e ^{?}**

The above answer is kind of hard to read. It is supposed to be "e to the pi".

If anyone wants to know the details just comment or email me.