1. A regular hexagonal pyramid with base edge 6 and hight 8 Is Inscribed In a right cone. Find the lateral areas of the cone and the pyramid.

2.The ratio of the base area of a cone to that of a cylinder Is 3 : 2 and the ratio of the volume of this cone to that of a cylinder Is 2 : 5. Given that the sum of the heights of the cone and the cylinder Is 72, what are the heights of them, respectively?