MathDB
max area of projection of cylinder on a plane

Source: IV Soros Olympiad 1997-98 R2 11.4 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics

June 1, 2024
geometry3D geometrygeometric inequalitycylinderprojection

Problem Statement

Find the largest value of the area of the projection of the cylinder onto the plane if its radius is rr and its height is hh (orthogonal projection).