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词条 Capsule (geometry)
释义

  1. Formulas

  2. References

A capsule (from Latin capsula, "small box or chest"), or stadium of revolution, is a basic three-dimensional geometric shape consisting of a cylinder with hemispherical ends.[1] Another name for this shape is spherocylinder.[2]

The shape is used for containers for pressurised gasses and for pharmaceutical capsules.

Formulas

The volume of a capsule is calculated by adding the volume of the two hemispheres (a sphere of radius ) to the volume of the cylindrical part: , where is the cylindrical radius and is the cylindrical height.

This simplifies to the formula .

The surface area formula is .[3]

References

1. ^{{mathworld|id=Capsule|title=Capsule}}
2. ^{{cite journal|last=Dzubiella|first=Joachim|author2=Matthias Schmidt |author3=Hartmut Löwen |title=Topological defects in nematic droplets of hard spherocylinders|journal=Physical Review E|year=2000|volume=62|page=5081|doi=10.1103/PhysRevE.62.5081|arxiv=cond-mat/9906388|bibcode=2000PhRvE..62.5081D}}
3. ^{{cite web|url=http://www.calculatorsoup.com/calculators/geometry-solids/capsule.php |title=Capsule Calculator |publisher=Calculatorsoup.com |accessdate=2013-02-18}}
{{elementary-geometry-stub}}

1 : Elementary shapes

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