Find the Volume of the Solid Bounded by the Paraboloid $z = x ^ { 2 } + y ^ { 2 }$

Multiple Choice

Find the volume of the solid bounded by the paraboloid $z = x ^ { 2 } + y ^ { 2 }$ and the plane $z = 4$ .

A) 4 $\pi$
B) 8 $\pi$
C) 12 $\pi$
D) 16 $\pi$
E) 24 $\pi$
F) 32 $\pi$
G) 48 $\pi$
H) 64 $\pi$