# Sphere - Weight

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vCalc.Sphere - Weight
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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) This is the radius of the sphere
• (ρ) This is the density of the sphere.  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.

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.

#### The Math / Science

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.

When the formula for mass and volume of a sphere are combined, one has formula for the mass of a sphere:

M = 4/3⋅π⋅r³⋅mD

where:

##### A word on Mass and Weight

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.