Sphere - Volume from Circumference

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Equation / Last modified by KurtHeckman on 2017/11/02 10:40
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vCalc.Sphere - Volume from Circumference

The Volume of a Sphere from the Circumference calculator computes the volume of a sphere based on its circumference (c). SphereVolume-illustration.png  Geometric Sphere 
INSTRUCTIONS:  Choose your length units (e.g. feet or meters) and enter the following:

  • (c)  The circumference of the sphere.

Volume: The Volume of the Sphere (v) is returned in cubic meters.  However, this can be automatically converted to numerous other volume unites (e.g. cubic feet, gallons and barrels) via the pull-down menu. 

Related Calculators:

  • Compute the Volume of a Sphere
  • Compute the Surface Area of a Sphere, CLICK HERE.  
  • Compute the Mass or Weight of a Sphere based on its volume and mean density, CLICK HERE.

The Math

The equation for the volume of a sphere is as follows:
           V = 4/3 π r3

This calculator replaces the radius with C/(2 π), based on the formula for the circumference of a circle c = 2  π r.

The volume of a sphere is a special case of the Volume of an Ellipsoid (CLICK HERE) where the three semi-axes (a, b, c) are all the same and equal to the radius (r)

           V  = 4/3 π a b c

One can see that they are algebraically the same when a,b,c are all equal to one value (r).

Related Calculators

The following table contains links to calculators that compute the volume of other shapes:

                                          Other Volume Calculators
              Various ShapesPolygon Columns
Cube Triangular PrismTriangular
ConePolygon based PyramidPentagon
Cone FrustumPyramid FrustumHexagon
Slanted CylinderSphere CapOctogon
EllipsoidOblate SpheroidNonogon