MathDB
3D Problem

Source: 1986 National High School Mathematics League, Exam One, Problem 7

February 24, 2020
conicsellipse

Problem Statement

Inside a circular column with a bottom surface with radius of 66, there are two balls with radius of 66 as well. The distance betwen their centers is 1313. Draw a plane that is tangent to both spherical surface, intersect the circular column at a curve CC. CC is a ellipse, then the sum of its short axis and long axis is________.