The Volume of an Oblate Spheroid equation (v = 4/3 π•b²•c) computes the volume of an oblate spheroid based on the semi-major(b) and semi- minor (c) axis with the assumption that the spheroid is generated via rotation around the minor axis (see diagram).
INSTRUCTIONS: Choose units and enter the following:
Oblate Spheroid Volume (V): The volume is returned in cubic meters. However, this can be automatically converted to other volume units (e.g. cubic yards, liters) via the pull-down menu.
The formula for the volume of an oblate spheroid is:
v = 4/3 π•b²•c
The oblate spheroid is an ellipsoid that can be formed by rotating an ellipse about its minor axis. The rotational axis thus formed will appear to be the oblate spheroid's polar axis. The oblate spheroid is fully described then by its semi-major and semi-minor axes.
One important shape in nature that is close to (though not exactly) an oblate spheroid is the Earth which has a semi-minor axis (c) which is the polar radius of 6,356 kilometers, and a semi-major axis (b) which is the equatorial radius of 6,378 kilometers. Consideration: what force would make the equatorial radius larger than the polar radius?
Volume is a three dimensional measurement of the amount of space taken up by an object. Volume units are cubic measurements for solid objects such as cubic inches and cubic meters. Fluid objects have separate units such as fluid ounces, gallons, barrel and liters.
The volume of an object can measured by the liquid it displaces or be calculated by measuring its dimensions and applying those dimensions to a formula describing its shape. Many such calculations are available in the following list of calculators.
In many cases, the calculators are for a column with a geometric shaped base and vertical sides. The most basic form is an Area times a Height.