Solve the Problem $y = 2 x ^ { 2 } , 0 \leq x \leq 3$

Multiple Choice

Solve the problem.
-Estimate the area of the surface generated by revolving the curve $y = 2 x ^ { 2 } , 0 \leq x \leq 3$ about the $x$ -axis. Use Simpson's Rule with $\mathrm { n } = 6$ .

A) 1007.254
B) 1024.885
C) 996.028
D) 1021.107