2014 Geometry #8
Source:
July 12, 2022
2014Geometry Test
Problem Statement
Moor made a lopsided ice cream cone. It turned out to be an oblique circular cone with the vertex directly above the perimeter of the base (see diagram below). The height and base radius are both of length . Compute the radius of the largest spherical scoop of ice cream that it can hold such that at least of the scoop’s volume lies inside the cone.