Find the Exact Area of the Surface Obtained by Rotating $x$

question 132

Short Answer

Find the exact area of the surface obtained by rotating the given curve about the $x$ -axis.
$$x = 2 \cos ^ { 3 } \theta , \quad y = 2 \sin ^ { 3 } \theta , \quad 0 \leq \theta \leq \pi / 2$$