MathDB
TOT 1999 Spring AS1 convex polyhedron is floating in a sea

Source:

May 11, 2020
convex polyhedrongeometry3D geometry

Problem Statement

A convex polyhedron is floating in a sea. Can it happen that 90%90\% of its volume is below the water level, while more than half of its surface area is above the water level?
(A Shapovalov)