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 = 2.

A) 2.38 $\pi$
B) 2.83 $\pi$
C) 3.83 $\pi$
D) 4.83 $\pi$