Capsule volume

From ancient times, people needed to measure the amount of various substances. Bulk substances and liquids could be measured by filling them with vessels of a certain capacity, determining their quantity by volume. The concept of volume in solid geometry is introduced similarly to the concept of area in plane geometry. In plane geometry, we determined the area like this: the area of ​​a polygon is the value of the part of the plane that the polygon occupies. To formulate the concept of volume similarly to this concept. The magnitude of the part of the space occupied by the geometric body is called the volume of this body. Volume is measured in "cubic" units.

The capsule, or stadium of revolution, is one of the main three-dimensional geometric shapes, consisting of a cylinder with hemispherical ends. Another name for this form is spherocylinder. The shape usually is used for containers for pressurized gases and pharmaceutical capsules.

The volume of the capsule is calculated by adding the volume of two hemispheres (radius sphere) to the volume of the cylindrical part.