The parametric equations $x=2a\cot(\theta),\;\;y=2a\sin^2(\theta)$ describe the curve known as the witch of Maria Agnesi. With $a = 3$, suppose this curve is rotated about the $x$-axis. Estimate the area of the resulting surface using Simpson's Rule with $n = 4$. Make sure your answer is correct to three decimal places.

Surface area $\approx$