Mensuration Formula Connecting the Volumes of Hemisphere, Cone, Spherical Sector and Great Cone

In this article, we introduce a very nice relationship between n times volume of hemisphere, volume of ānā number of circular cones with spherical sector or shell and a great cone with base radius as that of the given sphere and height as the sum of the heights of the above ānā number of inscribed cones. In other words, the difference between n times the volume of hemisphere with radius R and the sum of volumes of n number of cones with spherical sector or shell is equal to twice the volume of the great cone. Key words- Spherical sector or shell, volume of great cone, great height (H), great radius, non over lapping cone bases.