Answer:
The required equation of the ellipsoid is:
[tex]\frac{x^2}{(3963)^2}+\frac{y^2}{(3963)^2}+\frac{z^2}{(3950)^2}=1[/tex]
Step-by-step explanation:
Consider the provided information.
The standard equation of ellipsoid is:
[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}=1[/tex]
The equatorial radius is 3963 miles and the polar radius is 3950 miles. Also the trace formed by z = 0 corresponds to equator.
Here the equatorial radius is 3963 miles and trace formed by z = 0.
It is also given that the polar radius is 3950, that represents the distance on z axis, so substitute a=3963, b=3963 and c=3950 in the above equation.
The required equation of the ellipsoid is:
[tex]\frac{x^2}{(3963)^2}+\frac{y^2}{(3963)^2}+\frac{z^2}{(3950)^2}=1[/tex]
