The Properties of a Sector of a Sphere Calculator is used to calculate the volume and surface area of a spherical sector. A spherical sector is a solid of revolution enclosed by two radii from the center of a sphere. (Find out more at
Wolfram Mathworld)
The following equations are used to calculate the sector's volume and surface area:
where:
r is the radius of the sphere
h is the height of the spherical sector (the distance between the points where the two radii intersect the edge of the sphere)
where:
r is the radius of the sphere
h is the height of the spherical sector (the distance between the points where the two radii intersect the edge of the sphere)
s is the diameter of the circular base of the sector.
You may also optionally specify the material the sphere is constructed from to calculate the mass. The mass is
calculated based on the volume of the sector of the sphere and the density of the material. The density of the material is
derived from its specific gravity. Specific Gravities are available for a variety of metals, plastics and woods.
This calculator allows a user to specify English (inches, feet) or Metric (centimeters, meters) as possible units of
measure for the radius and height of the cone. NOTE: All lengths are assumed to
be of the same unit of measurement.
GlobalSpec engineering calculators are free for individuals to use via this site under the terms
and conditions set out under the Terms of Use of this web site and supplemented by this Engineering
Calculator Disclaimer. These calculators are intended solely for general information and educational
purposes, and are provided to help decrease the learning curve for those inexperienced in the engineering
field and to give more experienced users additional reference tools.
The engineering calculators provided are not intended in any way as engineering advice or services, or as a
solicitation for any engineering product or service. Any results from use of these calculators may not be
applicable or accurate with regard to the individual circumstances, cannot be relied upon for anything,
including, without limitation, engineering designs or decisions, and should not be the basis for any action
or inaction on your part. Read Entire Disclaimer
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