Set Up and Evaluate the Definite Integral for the Area $y = 9 - x ^ { 2 }$

Multiple Choice

Set up and evaluate the definite integral for the area of the surface formed by revolving the graph of $y = 9 - x ^ { 2 }$ about the $y$ -axis. Round your answer to three decimal places.

A) $58.659$
B) $117.319$
C) $235.685$
D) $5.323$
E) $2.661$