Register to reply

Mean Chord Length of Convex 3D Shape

by dsr39
Tags: chord length, convex, geometry, sphere
Share this thread:
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:


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.
Phys.Org News Partner Science news on
Scientists develop 'electronic nose' for rapid detection of C. diff infection
Why plants in the office make us more productive
Tesla Motors dealing as states play factory poker

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 Plano-convex Lens Introductory Physics Homework 2
Focal length of plano convex lens Advanced Physics Homework 2