Sphere - Volume

vCalc Reviewed
Equation / Last modified by KurtHeckman on 2017/11/30 16:24
Sphere - Volume
Variable Instructions Datatype
`(r) "radius"` Enter the radius that defines the sphere Decimal (Length)
vCalc.Sphere - Volume

The Volume of a Sphere calculator computes the volume of a sphere (V) based on the radius of the sphere (r).

SphereVolume-illustration.png  Geometric Sphere 
INSTRUCTIONS:  Choose the length units and enter the following:

  • (r)  the radius of the sphere.

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

Related Calculators:

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


The Math

The equation for the volume of a sphere is as follows:

           V = 4/3•π•r³

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.

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


This equation, Sphere - Volume, is listed in 2 Collections.