bicone

{{Short description|3D shape obtained by revolving a rhombus about one of its axes of symmetry}}

{{about-distinguish|the geometric shape|Bicorne}}

{{one source |date=May 2024}}

Image:Bicone.svg

In geometry, a bicone or dicone (from {{langx|la|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 bicone with radius $r$ and half-height $h$ , the volume is

: $V = \frac{2}{3} \pi r^2 h$

and the surface area is

: $A =2\pi r \ell\,$

where

: $\ell = \sqrt{r^2 + h^2}$

is the slant height.

{{Bipyramids}}

See also

References

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External links

{{MathWorld | urlname=Bicone | title=Bicone}}

Category:Elementary geometry

Category:Surfaces

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