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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 * Sphere * 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.

- Compute the Volume of a Sphere
- Compute the Surface Area of a Sphere
- Compute the Mass or Weight of a Sphere
- Compute the Radius of a Sphere from the Volume
- Compute the Radius of a Sphere from the Surface Area
- Compute the Surface Area of a Sphere from the Volume of a Sphere
- Compute the Volume of a Sphere from the Surface Area
- Compute the Volume of a Sphere Segment
- Compute the mass or weight of a Sphere Segment
- Compute the Volume of a Spherical Shell
- Compute the Mass or Weight of a Spherical Shell
- Area of Triangle on a Sphere
- Great circle arc distance between two points on a sphere

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.