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Mean Chord Length of Convex 3D Shape

by dsr39
Tags: chord length, convex, geometry, sphere
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dsr39
#1
Nov21-10, 03:05 PM
P: 18
One of my homework problems asks me to use the fact that the mean chord length of a convex 3d shape is equal to:

4V/S

where V = Volume and S = surface area.

I was just wondering if anyone could provide me with or point me to a proof of this fact. I think I could probably manage a proof for the specific case of a sphere (though it doesn't seem like it would be a pretty calculation) but I am looking for the general proof for any convex shape.
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