A sphere is inscribed in a right circular cone whose slant height has a length equal to the diameter of its base. What is the volume of the sphere if the slant height and the diameter of the cone both measure 12 cm?

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Spherical Coordinate System

The spherical coordinate system is a three-dimensional coordinate system for space where the position of a point is specified by three numbers- the radial distance of that point from a fixed source, its polar angle measured from a certain zenith, and the azimuth angle. Its orthogonal projection on the reference plane passes through the source and is measured from the direction of constant reference on that plane which is orthogonal to the highest level. It can be viewed as a three-dimensional version of the polar coordinate system.