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`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 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

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

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

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)

One can see that they are algebraically the same.

**Ellipsoid - Volume**computes the volume of an ellipsoid based on the length of the three semi-axes (a, b, c)**Ellipsoid - Surface Area**computes the surface area of an ellipsoid based on the length of the three semi-axes (a, b, c)**Ellipsoid - Mass or Weight**computes the mass or weight of an ellipsoid based on the length of the three semi-axes (a, b, c) and the mean density.**Oblate Spheroid - Volume**computes the volume of an Oblate Spheroid based on the length of the two semi-axes (b, c)**Oblate Spheroid- Surface Area**computes the surface area of an Oblate Spheroid based on the length of the two semi-axes (b, c)**Oblate Spheroid- Mass or Weight**computes the mass or weight of an Oblate Spheroid based on the length of the two semi-axes (b, c) and the mean density.**Sphere - Volume**computes the volume of a sphere based on the length of the radius (a)**Sphere - Surface Area**computes the surface area of a sphere based on the length of the radius (a)**Sphere - Mass or Weight**computes the mass or weight of a sphere based on the length of the radius (a) and the mean density.**Common Mean Density**provides a lookup capability to find the mean density of hundreds of materials (woods, metals, liquids, chemicals, food items, soils, and more)

- Sphere Surface Area based radius (r)
- Sphere Surface Area from Volume
- Sphere Volume from Radius
- 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) from volume and density
- 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

**Volume **is a three dimensional measurement of the amount of space taken up by an object. Volume units are cubic measurements for solid objects such as cubic inches and cubic meters. Fluids have separate volume units such as liters, fluid ounces, cups, gallons, and barrel.

The volume of an object can measured by the liquid it displaces or be calculated by measuring its dimensions and applying those dimensions to a formula describing its shape. Many such calculations are available in the following list of calculators.

In many cases, the calculators are for a column with a geometric shaped base and vertical sides. One basic formula for volume is area times a Height when the volume has vertical sides.

- Volume from Area and Height
- 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 Semicircle
- Volume of a Triangular
- Volume of a Quadrilateral
- Volume of a Pentagon
- Volume of a Hexagon
- Volume of a Heptagon
- Volume of a Octagon
- Volume of a Nonagon
- Volume of a Decagon
- Volume of a Hendecagon
- Volume of a Dodecagon
- Volume of a Paraboloid
- Volume of a Polygon based Pyramid
- Volume of a Pyramid Frustum
- Volume of a Sphere
- Volume of a Sphere Cap
- Volume of a Sphere Segment
- Volume of a Sphere Shell
- Volume of a Oblate Spheroid
- Volume of a Ellipsoid
- Volume of a Torus
- Volume of a Bottle
- Volume of a Chamfer