(adsbygoogle = window.adsbygoogle || []).push({}); sphere in a cone (ball in a martini glass)

A problem a friend mentioned to me years ago.

You have a cone with height H and angle A. What is the radius R of a sphere that when placed in the cone, displaces the most volume?

One suggestion was to reduce this to a two dimentional case.

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# Sphere in a cone (ball in a wine glass)

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