Sphere - Weight

vCalc Reviewed
Equation / Last modified by KurtHeckman on 2018/03/05 13:45
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vCalc.Sphere - Weight
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583e0c20-006f-11e4-b7aa-bc764e2038f2

The Mass or Weight of a Sphere calculator computes the weightSphereWeight-illustration.png   Sphere  or mass of a sphere based on the radius (r) and the mean density (mD).

Calculate Weight of a Sphere:

  1. Choose units
  2. Enter the radius (r
  3. Enter the mean density (mD) of the 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.  

Related Calculators:

  • 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
  • To compute the Volume of a Spherical Shell, CLICK HERE.
  • To compute the Mass or Weight of a Spherical Shell, CLICK HERE.

The Math / Science

This formula 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.

         Mass = Volume ⋅ Density

To query the mean density (mD or μD) of many common substances, elements, liquids and materials, CLICK HERE (e.g. the density of water is 1,000 kg/m³.

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.