area of surface of a chamber by 3 pipes
Source: 2007 Sharygin Geometry Olympiad Correspondence Round P21
April 27, 2019
geometry3D geometrysolid geometryarea
Problem Statement
There are two pipes on the plane (the pipes are circular cylinders of equal size, m around). Two of them are parallel and, being tangent one to another in the common generatrix, form a tunnel over the plane. The third pipe is perpendicular to two others and cuts out a chamber in the tunnel. Determine the area of the surface of this chamber.