`V = 4/3 * pi * "r" ^3 `

Enter a value for all fields

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

INSTRUCTIONS:  Choose units and enter the following:

• (r)  Radius of Sphere

Sphere Volume (V): 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. 

The Math / Science

The formula for the volume of a sphere is:

        V = ⁴/₃•π•r³

where:

• V is the volume of a sphere
• r is the radius of the sphere

Sphere Calculators:

• Sphere Surface Area based radius (r)
• Sphere Surface Area from Volume
• Sphere Volume based radius (r)
• Sphere Volume from Circumference
• Sphere Volume from Surface Area
• Sphere Volume from Mass and Density
• Sphere Radius from Volume
• Sphere Radius from Surface Area
• Sphere Weight (Mass) based on volume and mean density (mD)
• Sphere Density
• Area of Triangle on a Sphere
• Distance between Two Points on a Sphere
• Sphere Cap Surface Area
• Sphere Cap Volume
• Sphere Cap Weight (Mass) 
• Sphere Segment Volume
• Sphere Segment Weight (Mass)
• Sphere Segment Wall Surface Area (without the circular top and bottom ends)
• Sphere Segment Full Surface Area  (with the top and bottom circles, aka ends)
• Volume of Spherical Shell
• Mass of Spherical Shell

References

• Light and Matter(Dr. Benjamin Crowell) Chapter 1.2 Scaling of Area and Volume

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.

Volume Calculators

• Volume of a Cube 
• Volume of a Box
• Volume of a Cone
• Volume of a Cone Frustum
• Volume of a Cylinder
• Volume of a Slanted Cylinder
• Volume of a Triangular - 3 sided column
• Volume of a Quadrilateral - 4 sided column
• Volume of a Pentagon - 5 sided regular column
• Volume of a Hexagon - 6 sided regular column
• Volume of a Heptagon - 7 sided regular column
• Volume of a Octagon - 8 sided regular column
• Volume of a Nonagon - 9 sided regular column
• Volume of a Decagon - 10 sided regular column
• Volume of a Hendecagon  - 11 sided regular column
• Volume of a Dodecagon  - 12 sided regular column
• Volume of a Paraboloid
• Volume of a Polygon based Pyramid
• Volume of a Pyramid Frustum
• Volume of a Sphere
• Volume of a Oblate Spheroid
• Volume of a Ellipsoid
• Volume of a Torus
• Volume of a Bottle
• Volume of a Chamfer