Consider the Region Between the Graph Of $f ( x ) = 1 - x ^ { 2 }$

Multiple Choice

Consider the region between the graph of $f ( x ) = 1 - x ^ { 2 }$ and the line y = 2 on the interval [0, 1].
-Use the shell method to construct definite integrals to find the volume of the solid that is obtained by revolving this region around the vertical line x = 1.

A) 1.16 $\pi$
B) 2.16 $\pi$
C) 1.96 $\pi$
D) 2.67 $\pi$