"LastName$\_$ID$\_$HW$\_02\_$main.m$"$

Submit the MATLAB script $.$m file

Oblate spheroid calculations.

An oblate spheroid such as the Earth is obtained by revolving an ellipse about its minor axis. In everyday terms, it is the shape of a slightly compressed beach ball. The Earth$$s equatorial radius is about $20$ km longer than its polar radius. The surface area of an oblate spheroid is given by:

where r$1$ is the equatorial radius, r$2$ is the polar radius, and

$.$

Write a script that prompts the user to inputs the equatorial and polar radii. If the radii follow the rule r$2<$ r$1,$ then calculate and display both A$($r$1$; r$2)$ and the approximation

$.$ Apply the script to the Earth data $($r$1$; r$2)=(6378\mathrm{.}137,6356\mathrm{.}752).$ Display $6$ significant figures per answer to reveal the discrepancy.