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# Calculate The Volume of An Ellipsoid

Last updated: Saturday, April 29, 2023
Select a type of ellipsoid below
Standard Formula
Spheroid

An ellipsoid is a captivating three-dimensional geometric figure that resembles a sphere but with different lengths of axes, resulting in a shape that is elongated or flattened relative to a sphere. This intriguing shape has various applications in mathematics, engineering, design, and natural sciences, and the study of ellipsoids provides valuable insights into the properties of curved surfaces, enriching our understanding of geometry and its practical applications.

In nature, many fruits, such as mangoes or avocados, exhibit ellipsoidal shapes, which facilitate efficient packing and nutrient distribution. In engineering and design, ellipsoidal forms are used in the creation of aerodynamic structures like aircraft fuselages or streamlined cars, where their shape helps reduce air resistance and improve efficiency.

In the realm of astronomy, many celestial bodies like planets or stars can be approximated as ellipsoids due to their rotation and gravitational forces, enabling scientists to study their properties and dynamics more accurately. Even the Earth itself can be considered an oblate ellipsoid, slightly flattened at the poles and bulging at the equator. This understanding is crucial for applications such as cartography and satellite-based navigation systems.

Easily calculate the volume of an ellipsoid with step-by-step guidance using our free calculator below.

The formula for determining the volume of an ellipsoid is defined as:
$$V$$ $$=$$ $$\dfrac{4}{3}$$ $$\cdot$$ $$\pi$$ $$\cdot$$ $$a$$ $$\cdot$$ $$b$$ $$\cdot$$ $$c$$
$$V$$: the volume of the ellipsoid
$$a$$: the length of the first axis
$$b$$: the length of the second axis
$$c$$: the length of the third axis
$$\pi$$: A mathematical constant with an infinite decimal tail
The SI unit of volume is: $$cubic \text{ } meter\text{ }(m^3)$$

## Find $$V$$

Use this calculator to determine the volume of an ellipsoid when the lengths of its axes are given.
Hold & Drag
CLOSE
the length of the first axis
$$a$$
$$meter$$
the length of the second axis
$$b$$
$$meter$$
the length of the third axis
$$c$$
$$meter$$
$$\pi$$ : A mathematical constant with an infinite decimal tail

2 (4)
1 (1)
1 (1)
1 (1)
5 (6)
1 (1)