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Calculate The Volume of A Spheroid

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

An oblate spheroid is a special type of ellipsoid with two semi axes of equal length and the equatorial radius is greater than the polar radius. ie. \(a > c\). This intriguing shape, which includes oblate and prolate spheroids, has numerous applications in mathematics, engineering, design, and natural sciences. The study of spheroids helps deepen our understanding of the properties of curved surfaces and offers valuable insights into the practical applications of geometry.

Real-life examples of objects with a shape similar to a spheroid can be found in a wide range of settings, showcasing the versatility and appeal of this geometric figure. In nature, many fruits such as tomatoes or plums exhibit spheroidal shapes, which can facilitate efficient packing and provide an optimal surface-to-volume ratio. In engineering and design, spheroidal forms are used in the construction of aerodynamic structures like airships, where their shape helps minimize air resistance and improve efficiency.

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

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

The formula for determining the volume of a spheroid is defined as:
\(V\) \(=\) \(\dfrac{4}{3}\) \(\cdot\) \(\pi\) \(\cdot\) \(a^2\) \(\cdot\) \(c\)
\(V\): the volume of the spheroid
\(a\): the value of the equatorial radius
\(c\): the value of the polar radius
\(\pi\): 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 a spheroid using the equatorial and the polar radii.
Hold & Drag
the value of the equatorial radius
the value of the polar radius
\(\pi\) : A mathematical constant with an infinite decimal tail
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