Sphere - Volume

vCalc Reviewed
Equation / Last modified by Administrator on 2017/05/15 22:15
Sphere - Volume
Variable Instructions Datatype
`(r) "radius"` Enter the radius that defines the sphere Decimal (Length)
Type
Equation
Category
Mathematics->Geometry->3D - Euclidean
Contents
1 variables
Rating
ID
vCalc.Sphere - Volume
UUID
e6cc6d4d-da27-11e2-8e97-bc764e04d25f

The Volume of a Sphere equation, `V = 4/3 pi r^3`, computes the volume of a sphere of radius r. SphereVolume-illustration.png  Geometric Sphere 
INSTRUCTIONS:  Choose your length units (e.g. feet or meters) and enter the following:

  • (r)  the radius of the sphere.

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. 

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.

References

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
BoxParaboloidQuadrilateral
ConePolygon based PyramidPentagon
Cone FrustumPyramid FrustumHexagon
CylinderSphereHeptagon
Slanted CylinderSphere CapOctogon
EllipsoidOblate SpheroidNonogon
TorusCapsuleDecagon

  

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