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:
Volume of a Spherical Sector
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)
Surface Area of a Spherical Sector
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.
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Material:
Radius (r):
Height (h):
Sector (s):
Units:
  

Engineering Calculator Disclaimer

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