BMT 2014 Spring - Individual 10
Source:
January 22, 2022
geometry3D geometrysphere
Problem Statement
A plane intersects a sphere of radius such that the distance from the center of the sphere to the plane is . The plane moves toward the center of the bubble at such a rate that the increase in the area of the intersection of the plane and sphere is constant, and it stops once it reaches the center of the circle. Determine the distance from the center of the sphere to the plane after two-thirds of the time has passed.