MathDB
2014 Geometry #5: 3-D Geometry

Source:

February 25, 2014
geometryanalytic geometry3D geometrysphereinradius

Problem Statement

Let C\mathcal{C} be a circle in the xyxy plane with radius 11 and center (0,0,0)(0, 0, 0), and let PP be a point in space with coordinates (3,4,8)(3, 4, 8). Find the largest possible radius of a sphere that is contained entirely in the slanted cone with base C\mathcal{C} and vertex PP.
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