The Elliptical Volume calculator computes the volume of an ellipse shaped column using the semi-major (a) and semi-minor (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:
- (a) semi-major axis
- (b) semi-minor axis
- (h) height of the column
Volume of Ellipse Shaped Column (V): The calculator returns the volume in cubic meters. However this can be automatically converted to compatible units via the pull-down menu next to the resulting answer.
The Math / Science
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 cross-sections (see diagram below). The formula for an elliptical volume is:
where:
- V = volume of the elliptical column
- a = semi-major axis
- b = semi-minor axis
- h = height of the column
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.
Related Ellipse calculators
- Area of an Ellipse:
- Rumanujan's Circumference of an Ellipse 1:
- Rumanujan's Circumference of an Ellipse 2:
- Circumference of an Ellipse (other)
- Eccentricity of an Ellipse:
- Mean Radius of an Ellipse:
- Elliptical Volume
- Surface Area of an Ellipsoid
- Weight or Mass of an Ellipsoid
- Volume of an Oblate Spheroid
- Surface Area of an Oblate Spheroid
- Volume of a Sphere
- Surface Area of a Sphere
Reference
Description of an ellipse is from Wikipedia (en.wikipedia.org/wiki/Ellipse)