15. Show that height of the cylinder of greatest volume which can be inscribed in a right

15. Show that height of the cylinder of greatest volume which can be inscribed in a right

15. Show that height of the cylinder of greatest volume which can be inscribed in a right circular cone of height h and semi vertical angle α is one – third that of the cone and the greatest volume of cylinder is 4/27 πh^3 〖tan〗^2 α.