Bicone

In geometry, a bicone or dicone (from Template:Langx, 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 bicone with radius $r$ and half-height $h$ , the volume is

V = \frac{2}{3} π r^{2} h

and the surface area is

A = 2 π r ℓ

where

ℓ = \sqrt{r^{2} + h^{2}}

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