Formula Ellipsoid Volume First Semi-axis Second Semi-axis Third Semi-axis
$$V ~=~ \frac{4\pi}{3} \, a \, b \, c$$ $$V ~=~ \frac{4\pi}{3} \, a \, b \, c$$ $$a ~=~ \frac{3}{4\pi} \, \frac{V}{b\,c}$$ $$b ~=~ \frac{3}{4\pi} \, \frac{V}{a\,c}$$ $$c ~=~ \frac{3}{4\pi} \, \frac{V}{a\,b}$$
Volume
$$ V $$ Unit $$ \mathrm{m}^3 $$ Volume of the ellipsoid. Ellipsoid is the three-dimensional version of an ellipse. Visually, the ellipsoid is a compressed sphere.
First Semi-axis
$$ a $$ Unit $$ \mathrm{m} $$ Distance from the center to the edge of the ellipsoid along the x-axis, with the center of the ellipsoid placed at the coordinate origin.
Second Semi-axis
$$ b $$ Unit $$ \mathrm{m} $$ Distance from the center to the edge of the ellipsoid along the y-axis, with the center of the ellipsoid placed at the coordinate origin.
Third Semi-axis
$$ c $$ Unit $$ \mathrm{m} $$ Distance from the center to the edge of the ellipsoid along the z-axis, with the center of the ellipsoid placed at the coordinate origin.