
#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. 


Register to reply 
Related Discussions  
Convex lens and focal length  General Physics  4  
A circle where every chord intersects every other chord?  Differential Geometry  8  
When is arc length ≈ chord length  Calculus & Beyond Homework  6  
Focal Length of a Planoconvex Lens  Introductory Physics Homework  2  
Focal length of plano convex lens  Advanced Physics Homework  2 