Capsule (geometry)


A capsule, or stadium of revolution, is a basic three-dimensional geometric shape consisting of a cylinder with hemispherical ends. Another name for this shape is spherocylinder.
The shape is used for containers for pressurised gases and for pharmaceutical capsules.

Formulas

The volume of a capsule is calculated by adding the volume of the two hemispheres to the volume of the cylindrical part:
This simplifies to the formula.
The surface area formula is.