 Welcome to the session, let us understand the following question which says show that height of the cylinder of greatest volume which can be inscribed in a right circular cone of height edge and semi vertical angle that of the cone and the greatest volume of cylinder is let us proceed with the solution. But before that let us see the figure of the question. Here we have a height of the cylinder and small x be the radius of the cylinder or radius of the cone. Both the triangles are similar.