The Elliptical Mass calculator computes the mass or weight of an ellipse shaped column using the semimajor (a) and semiminor (b) axes and the height of the column (h). Note: this is a different that the volume of an ellipsoid (see below).
INSTRUCTIONS: Choose units and enter the following:
Volume of Ellipse Shaped Column (V): The calculator returns the volume in cubic meters and the top surface area in square meters. However these can be automatically converted to compatible units via the pulldown menu next to the resulting answer.
An elliptical volume is a three dimension object with an elliptical base and top and vertical sides (see diagram above). This differs from an ellipsoid which is a symmetric curved surface volume with elliptical crosssections (see diagram below). The formula for mass or weight of an elliptical volume is:
M = π•a•b•h⋅mD
where:
In mathematics, an ellipse is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve. As such, it is a generalization of a circle, which is a special type of an ellipse having both focal points at the same location. The shape of an ellipse (how "elongated" it is) is represented by its eccentricity, which for an ellipse can be any number from 0 (the limiting case of a circle to arbitrarily close to but less than 1.
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: