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:
- (r1) Radius the circle defining the top slice of the sphere.
- (r2) Radius the circle defining the bottom slice of the sphere.
- (h) Height of the segment (frustum) of the sphere or the distance between the two planes
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.
The Math
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:
Sphere Calculators:
- Volume of a Sphere
- Surface Area of a Sphere
- Mass or Weight of a Sphere
- Radius of a Sphere from the Volume
- Radius of a Sphere from the Surface Area
- Surface Area of a Sphere from the Volume of a Sphere
- Volume of a Sphere from the Surface Area
- Area of Triangle on a Sphere
- Great circle arc distance between two points on a sphere
- Sphere Cap Surface Area
- Sphere Cap Volume
- Sphere Cap Weight (Mass)
- Sphere Segment Volume
- Sphere Segment Weight (Mass)
- Sphere Segment Wall Surface Area (without the circular top and bottom ends)
- Sphere Segment Full Surface Area (with the top and bottom circles, aka ends).
- Volume of Spherical Shell
- Mass of Spherical Shell
Uses
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.