The Volume of Sphere Segment or Frustum calculator Sphere Slice/Segment/Frustum computes the volume of the section of a sphere made by two parallel planes cutting through the sphere.
INSTRUCTIONS: Choose units and enter the following:
Volume of a Sphere Segment (V): The calculator returns the volume in cubic meters. However, this can be automatically converted to other volume units (e.g. cup, gallons, liters or cubic feet) via the pull-down menu.
A sphere slice or segment could be considered a sphere frustum. The inputs are upper radius (r1), lower radius (r2) and the distance between (h). The assumption is that both slices are in parallel planes. (See diagram)
The formula for the segment or slice of a sphere is as follows:
`V = pi*h/6 * ( 3*r_1^2 +3*r_2^2 + h^2)`
The volume of sphere segment is also known as:
Many manufactured objects are in the shape of a Sphere Frustum (aka Sphere Segment). However, the volume of an apple can be estimated using this formula.