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)
Theis 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, thecan be estimated using this formula.
Volume is a three dimensional measurement of the amount of space taken up by an object. Volume units are cubic measurements for solid objects such as cubic inches and cubic meters. Fluids have separate volume units such as liters, fluid ounces, cups, gallons, and barrel.
The volume of an object can measured by the liquid it displaces or be calculated by measuring its dimensions and applying those dimensions to a formula describing its shape. Many such calculations are available in the following list of calculators.
In many cases, the calculators are for a column with a geometric shaped base and vertical sides. One basic formula for volume is area times a Height when the volume has vertical sides.