An inverted cone of radius a and height h is filled with water. A sphere made of a material denser than water is placed in the cone. Find the radius of the sphere, r, that will displace the largest volume of water.

(In reply to observation by Steven Lord)

I tried this method but the relationship is not obvious for different spheres and cones. I suspect calculus is required.

Posted by broll on 2019-09-13 12:21:24