olymmath

KöMaL 2015 B4756

    In the interior of a unit cube, there are some spheres with a total surface area of 2015. Show that a)a) there exists a line that intersects at least 500 spheres, b)b) there exists a plane that intersects at least 600 spheres.

    Official text KöMaL. Quoted with source.

    Solutions

    No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

    Add a solution

    Similar problems

    These problems have the most words in common with this statement.

    Locator hu-komal/2015/b4756 · Tag H6NG9CMBTN · Edit this page on GitHub · Keys: j next, k previous