Recent content by astroboy999
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What is the average area of a cut on a sphere by a random plane?
Well, don't I want to average over the interval [-r, r]? But maybe I needed the factor of \frac{1}{2r}, instead of \frac{1}{r}. Is that correct?- astroboy999
- Post #3
- Forum: Calculus and Beyond Homework Help
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A
What is the average area of a cut on a sphere by a random plane?
Homework Statement Given a sphere of radius r, what is the average area of a cut given by a random plane meeting the sphere? The Attempt at a Solution I just need someone to check my answer, and maybe suggest an alternative solution if there is a better one. I assumed that the cut is...- astroboy999
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- Average Continuous Model
- Replies: 3
- Forum: Calculus and Beyond Homework Help