The Weight or Mass of an Ellipsoid calculator computes the weight or mass of an ellipsoid with semiaxes of lengths a, b, and c (see diagram), where the composition of the ellipsoid has a mean density (mD).
INSTRUCTIONS: Choose units and enter the following:
 (a) semiaxis of the ellipsoid.
 (b) semiaxis of the ellipsoid.
 (c) semiaxis of the ellipsoid.
 (mD) mean density of the sphere
Mass of Ellipsoid (m): The mass of the ellipsoid is returned in kilograms. However, this can be automatically converted to other mass and weight units (e.g. pounds, tons, grams) via the pulldown menu.
The Math / Science
The formula for the mass or weight of an ellipsoid is:
`m =[4/3 * pi *a*b*c]*mD`
where:
 m = mass of the ellipsoid
 a = length of semiaxis a
 b = length of semiaxis b
 c = length of semiaxis c
 mD = mean density of composition
The 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 = ρ * volume
where:
 Ellipsoid  Volume computes the volume of an ellipsoid based on the length of the three semiaxes (a, b, c)
 Ellipsoid  Surface Area computes the surface area of an ellipsoid based on the length of the three semiaxes (a, b, c)
 Ellipsoid  Mass or Weight computes the mass or weight of an ellipsoid based on the length of the three semiaxes (a, b, c) and the mean density.
 Oblate Spheroid  Volume computes the volume of an Oblate Spheroid based on the length of the two semiaxes (b, c)
 Oblate Spheroid Surface Area computes the surface area of an Oblate Spheroid based on the length of the two semiaxes (b, c)
 Oblate Spheroid Mass or Weight computes the mass or weight of an Oblate Spheroid based on the length of the two semiaxes (b, c) and the mean density.
 Sphere  Volume computes the volume of a sphere based on the length of the radius (a)
 Sphere  Surface Area computes the surface area of a sphere based on the length of the radius (a)
 Sphere  Mass or Weight computes the mass or weight of a sphere based on the length of the radius (a) and the mean density.
 Common Mean Density provides a lookup capability to find the mean density of hundreds of materials (woods, metals, liquids, chemicals, food items, soils, and more)
Mean Density Units
Common Mean Densities 
Fluids
 Pure Water  1,000 kg/m³
 Seawater  1,022 kg/m³
 Milk  1,037 kg/m³
 Olive Oil  860 kg/m³
 Cement Slurry  1,442 kg/m³
Fuels
 Diesel Fuel  885 kg/m³
 Crude Oil  870 kg/m³ to 920 kg/m³
 Fuel Oil  890 kg/m³
 Ethanol  789 kg/m³
 Gasoline (petrol)  737 kg/m³
 Propane  493 kg/m^{3}
 Liquid Natural Gas  430 to 470 kg/m^{3}
MarketReady Grains
 Corn  56 lb/bu (721 kg/m^{3})
 Wheat  60 lb/bu (772 kg/m^{3})
 Barley  48 lb/bu (618 kg/m^{3})
 Oats  32 lb/bu (412 kg/m^{3})
 Rye  56 lb/bu (721 kg/m^{3})
 Soybean  60 lb/bu (772 kg/m^{3})

Metals
 Density of Aluminum  2,700 kg/m^{3}
 Density of Brass  8,530 kg/m^{3}
 Density of Bronze  8,150 kg/m^{3}
 Density of Chromium  7190 kg/m^{3}
 Density of Cobalt  8746 kg/m^{3}
 Density of Copper  8,920 kg/m^{3}
 Density of Gallium  5907 kg/m^{3}
 Density of Gold  19,300 kg/m^{3}
 Density of Iron  7,847 kg/m^{3}
 Density of Lead  11,340 kg/m^{3}
 Density of Nickle  8,908 kg/m^{3}
 Density of Palladium  12,023 kg/m^{3}
 Density of Platinum  21,450 kg/m^{3}
 Density of Steel  7,850 kg/m^{3}
 Density of Silver  10,490 kg/m^{3}
 Density of Titanium  4,500 kg/m^{3}
 Density of Tungsten  19,600 kg/m^{3 }
 Density of Uranium  19,050 kg/m^{3}
 Density of Zinc  7,135 kg/m^{3}
 Density of Zirconium  6,570 kg/m³

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:
 kilograms per cubic meter (kg/m^{3})
 grams per cubic centimeter (g/cm^{3})
 grams per liter (g/L)
 pounds per cubic feet (lb/ft^{3})
 ounces per cubic inch (oz/in^{3})
 pounds per barrel (lb/bbl)
 pounds per bushel (lb/bu)
vCalc provides for automatic conversions between density units via the pulldown menus.