Find the Volume of the Indicated Region $z = x ^ { 2 } + y ^ { 2 }$

Multiple Choice

Find the volume of the indicated region.
-the region bounded by the paraboloid $z = x ^ { 2 } + y ^ { 2 }$ , the cylinder $x ^ { 2 } + y ^ { 2 } = 4$ , and the $x y$ -plane

A) $4 \pi$
B) $8 \pi$
C) $\frac { 16 } { 3 } \pi$
D) $\frac { 8 } { 3 } \pi$