Volume

Functions
template<typename T >
T	EGXMath::SpheroidVolume (const T equatorialRadiusInm, const T polarRadiusInm)
	Finds the volume, \(V_{spheroid}\), in meter cubed of a spheroid with equatorial radius \(a\) and polar radius, \(c\). \[ V_{spheroid}=\frac{4}{3}\pi a^2 c \] . More...

Detailed Description

Function Documentation

SpheroidVolume()

template<typename T >

T EGXMath::SpheroidVolume	(	const T	equatorialRadiusInm,
		const T	polarRadiusInm
	)

Finds the volume, \(V_{spheroid}\), in meter cubed of a spheroid with equatorial radius \(a\) and polar radius, \(c\).

\[ V_{spheroid}=\frac{4}{3}\pi a^2 c \]

.

See http://mathworld.wolfram.com/Spheroid.html and https://en.wikipedia.org/wiki/Spheroid#Volume

Parameters

equatorialRadiusInm	\( a\ (m)\) Equatorial radius in meters. The degenerate semi-principle axis of the spheroid.
polarRadiusInm	\( c\ (m)\) Polar radius in meters. The unique semi-principle axis of the spheroid.

Returns

\( V_{spheroid}\ (m^3)\) Volume of spheroid in meter cubed.

See also

SpheroidEccentricity() for eccentricity of a spheroid.

SpheroidEquatorialRadius() for equatorial radius of a spheroid.

SpheroidFlattening() for flattening of a spheroid.

SpheroidInertia() for inertia tensor of a spheroid.

SpheroidPolarRadius() for polar radius of a spheroid.

SpheroidSurfaceArea() for surface area of a spheroid.