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:
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.
Thefirst computes the 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 theand are combined, one has :
M = 4/3⋅π⋅r³⋅mD
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.