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 grams. However, this can be automatically converted to compatible units via the pulldown 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.
The formula for the volume of a sphere cap is:
where:
Common Mean Densities in Kilograms per Meter Cubed (kg/m^{3})  
Fluids
Fuels
MarketReady Grains 
Metals

Earthen
Synthetic
Organic

Mean Density Lookup Function 
Mean density is scientifically volume divided by mass. There are various unit for density adopted by cultures and industries. Common units for density included the following:
If you want to identify a material by its density, use the Density Within Range tool.
Weight is technically the downward force that a mass exerts based on the force of gravity and the mass of the object. On the surface of the Earth, mass and weight are often interchanged. In some places, objects are sold by the gram (mass), and in other locations, the same objects are sold by the ounce (weight).
The Weight Calculators use the dimensions of an object and its shape to compute the objects volume. They then apply a density associated with a material to estimate the objects weight.