Capsule (geometry)

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A capsule, also known as a stadium of revolution, is a basic three dimensional geometric shape. It consists of a cylinder with hemispherical ends.^[1] Another name for this shape is "spherocylinder".^[2] The shape is used for containers for pressurised gasses.

Formulas

The volume of a capsule is calculated by the formula $\pi r^{2}\left({\frac {4}{3}}r+a\right)$ where $r$ is the radius of the cylinder and hemispheres and $a$ is the length of the cylindrical part.

The surface area formula is $2\pi r(2r+a)$ where $r$ is the radius of the cylinder and hemispheres and $a$ is the length of the cylindrical part.^[3]

References

↑ "Capsule". Mathworld.wolfram.com. 2005-10-20. Retrieved 2013-01-31.
↑ Dzubiella, Joachim; Matthias Schmidt, and Hartmut Löwen (2000). "Topological defects in nematic droplets of hard spherocylinders". Physical Review E 62: 5081. doi:10.1103/PhysRevE.62.5081. Cite uses deprecated parameters (help)
↑ "Capsule Calculator". Calculatorsoup.com. Retrieved 2013-02-18.

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