Bicone



In geometry, a bicone or dicone (from bi-, and Greek: di-, both meaning "two") is the three-dimensional surface of revolution of a rhombus around one of its axes of symmetry. Equivalently, a bicone is the surface created by joining two congruent, right, circular cones at their bases.

A bicone has circular symmetry and orthogonal bilateral symmetry.

Geometry
For a circular bicone with radius R and height center-to-top H, the formula for volume becomes


 * $$V = \frac{2}{3} \pi R^2 H. $$

For a right circular cone, the surface area is
 * $$SA =2\pi R S\,$$  where   $$S = \sqrt{R^2 + H^2}$$   is the slant height.