Find the Volume of the Solid Generated by Revolving the Region

Multiple Choice

Find the volume of the solid generated by revolving the region about the y-axis.
-The region in the first quadrant bounded on the left by the circle $x ^ { 2 } + y ^ { 2 } = 4$ , on the right by the line $x = 2$ , and above by the line $\mathrm { y } = 2$

A) $2 \pi$
B) $\frac { 16 } { 3 } \pi$
C) $\frac { 8 } { 3 } \pi$
D) $8 \pi$