A right circular cone is inscribed in a sphere.
A right circular cone is inscribed in a sphere. The base of the cone lies in the bottom half of the sphere. A dashed line segment goes from the vertex of the cone to a point in the center of the sphere. It is labeled 12 inches.
The radius of the sphere has a length of 12 in.
If the slant height of the cone has a length equal to that of its diameter, find the length (in inches) of the following.
(a) the radius of the base of the cone (inches)
(b) the altitude of the cone (inches)