Chapter 11, Problem 18P

To determine

To write:

A MATLAB program that shows that the differential volume element of the ellipsoid shown is given by $dV=-\text{π}abc{\sin }^{3}vdv$; a MATLAB program that evaluates the integral of $dV$ from $-\text{π}$ to $0$ symbolically and show that the volume of the ellipsoid is $V=\frac{4}{3}\text{π}abc$.