  The manuscript provides formulas for the volume of a body defined by the
intersection of a solid cone and a solid sphere as a function of the sphere
radius, of the distance between cone apex and sphere center, and of the cone
aperture angle. If the sphere center lies on the (extended) cone axis the
analysis may be based on cylinder coordinates fixed at the cone axis, and the
volume is the sum of the well-known volumes of finite cones and sphere caps. At
the general geometry the sphere center is not on the (extended) cone axis. Our
approach calculates the volume by slicing space perpendicular to the cone axis
and by integrating the lens areas defined by the sphere-cone intersection.
These volume integrals are rephrased with the aid of the Byrd-Friedmann tables
to Elliptic Integrals of the First, Second and Third Kind.
