Quote:
Originally Posted by GeeTwo
I am also confident that the same questions can be answered for the sphere using a similar point of view.
|
I did the integral for the average length of a line segment within a sphere, and found that the answer is
rational! This problem was actually simpler to integrate (though just a bit trickier to set up) than any of the two-dimensional problems. If no one posts anything (yes, even a "hold on, I'm working it!") on the circle or sphere questions by Wednesday at 1800 US-CDT, I'll post my solutions so we can close out these quiz questions.