Volume

Functions
template<typename T >
T	EGXMath::EllipsoidVolume (const T aSemiPrincipleAxisInm, const T bSemiPrincipleAxisInm, const T cSemiPrincipleAxisInm)
	Finds the volume, \(V_{ellipsoid}\), in meter cubed of a ellipsoid with three distinct semi-principle axes, \(a\), \(b\) and \(c\). \[ V_{ellipsoid}=\frac{4}{3}\pi a b c \] . More...

Detailed Description

Function Documentation

EllipsoidVolume()

template<typename T >

T EGXMath::EllipsoidVolume	(	const T	aSemiPrincipleAxisInm,
		const T	bSemiPrincipleAxisInm,
		const T	cSemiPrincipleAxisInm
	)

Finds the volume, \(V_{ellipsoid}\), in meter cubed of a ellipsoid with three distinct semi-principle axes, \(a\), \(b\) and \(c\).

\[ V_{ellipsoid}=\frac{4}{3}\pi a b c \]

.

See http://mathworld.wolfram.com/Ellipsoid.html and https://en.wikipedia.org/wiki/Ellipsoid

Parameters

aSemiPrincipleAxisInm	\( a\ (m)\) Semi-principle axis of the ellipsoid that lays along the x-axis in meters.
bSemiPrincipleAxisInm	\( b\ (m)\) Semi-principle axis of the ellipsoid that lays along the y-axis in meters.
cSemiPrincipleAxisInm	\( c\ (m)\) Semi-principle axis of the ellipsoid that lays along the z-axis in meters.

Returns

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

See also

EllipsoidSurfaceArea() for surface area of an ellipsoid.

EllipsoidInertia() for inertial tensor of an ellipsoid.

SphereVolume() for volume of a sphere.

SpheroidVolume() for volume of a spheroid.