The Mass or Weight of a Sphere Cap calculator computes the mass of a section of a sphere that includes the surface (i.e. a sphere cap - see diagram).
INSTRUCTIONS: Choose units and enter the following:
Mass or Weight of Sphere Cap(M): The calculator returns the mass in kilograms. However, this can be automatically converted to compatible units via the pull-down menu.
The Sphere Cap Weight (Mass) formula provides the weight of the cap of a sphere defined by a depth (h) from the surface in a sphere defined by a radius (r) with a mean density (mD) .
This formula computes the volume of the geometric shape based on the input parameters. With the computed volume, this formula then executes the simple equation below to compute the approximate mass of the object.
`mass = mu_(density) * volume`
The mean density (`mu_(density)`) of many common substances, elements, liquids and materials can be found by clicking HERE (e.g. the `mu_(density) (water)` is 1000.0 kg/m³).
The formula for the volume of a sphere cap is:
where: