Find the Area of the Surface Obtained by Rotating the Curve

Multiple Choice

Find the area of the surface obtained by rotating the curve about the x-axis. $x=\frac{1}{3}\left(y^{2}+2\right) ^{\frac{3}{2}}, 1 \leq y \leq 4$

A) $\frac{285}{2}$ $\pi$
B) $283$ $\pi$
C) $281$ $\pi$
D) $\frac{287 \pi}{2}$
E) $\frac{289 \pi}{2}$