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Mean Chord Length of Convex 3D Shape 
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#1
Nov2110, 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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