Capsule (geometry)

A capsule, also known as a stadium of revolution, is a basic three dimensional geometric shape. It consists of a cylinder with hemispherical ends. Another name for this shape is "spherocylinder". 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.

References

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