Calculations at a capsule. A capsule is a bisectedsphere with a matching cylinder between the two halfs. Another name for this solid is spherocylinder.
Enter radius of the sphere and height of the cylinder and choose the number of decimal places. Then click Calculate.
Formulas:
l = h + 2r
A = 2πr * ( 2r + h )
V = πr² * ( 4/3r + h)
pi:
π = 3.141592653589793...
Radius, height and length have the same unit (e.g. meter), the area has this unit squared (e.g. square meter), the volume has this unit to the power of three (e.g. cubic meter). A/V has this unit -1.
The capsule is the solid of revolution of a half stadium around its long side. A capsule halved lengthwise is a half capsule, and halved crosswise it results in an elongated hemisphere. If the capsule is lying down and only partially filled, the form of the filling corresponds to a capsule segment. Since the capsule is a solid of revolution, it is rotationally symmetrical, namely to the axis that goes through the centers of both hemispheres. It is also point-symmetrical to its center and mirror-symmetrical to the vertical plane through this center.
The name capsule is better known from the drug casing of the same name. Since these casings are often not completely filled, the capsule segment is also found here. The word capsule is derived from the Latin capsula, which originally meant a small chest. These small chests probably had a different form, so the name has changed its meaning somewhat since then.
The term capsule is associated with rather small things, in contrast to its two-dimensional equivalent and the shape of its cross-section, the stadium. Names and meanings evolve and they can stand for different things. The associations overlap, so the geometric capsule, such as the medical capsule, is perceived as rather small and the geometric stadium, such as the sports one, is perceived as rather large, although the size of the geometric objects is of course indeterminate.