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`m = [4/3 * pi * "r" ^3] * rho `

Enter a value for all fields

The **Mass or Weight of a Sphere** calculator computes the weight or mass of a sphere based on the radius (**r**) and the mean density (**ρ**).

**INSTRUCTIONS: **Choose units and enter the following:

- (
**r**) Radius of Sphere - (
**ρ**) Density of Sphere

**Mass of the Sphere (m) :** The calculator returns the mass of the sphere in kilograms (kg). However, this can be automatically converted to other mass or weight units (e.g., pounds, tons) via the pull-down menu next to the answer. **NOTE:** To find the mean density (ρ) of many common substances, elements, liquids and materials, **CLICK HERE **(e.g., the density of water is 1,000 kg/m³).

The formula for the mass of a sphere:

M = 4/3⋅π⋅r³⋅mD

where:

- M is the mass of the sphere
- r is the radius of the sphere
- mD is the mean density of the material

The mass of a sphere calculator first computes the volume of the sphere based on the radius. With the computed volume, this formula then executes the simple equation below to compute the approximate mass of the object.

See the mean density (ρ) of many common substances

Above the formula for mass and volume of a sphere are combined.

- 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

Converting from mass to weight is trivial under the right conditions. Fortunately those conditions are generally true anywhere on the surface of the Earth, so the conversions built into the vCalc unit conversion engine can be assumed to be fairly accurate unless you require weight at very high altitudes or in space.