Find the Volume of the Solid Obtained When the Region $y = x ^ { 2 } + 1 , y = 1 , \text { and } x = 1$

Multiple Choice

Find the volume of the solid obtained when the region bounded by the curves $y = x ^ { 2 } + 1 , y = 1 , \text { and } x = 1$ is rotated about the line x =1.

A) $\frac { \pi } { 12 }$
B) $8 \pi$
C) $\frac { \pi } { 2 }$
D) $\frac { \pi } { 4 }$
E) $\frac { \pi } { 3 }$
F) $\frac { \pi } { 6 }$
G) $4 \pi$
H) $\frac { 10 \pi } { 3 }$