Use Polar Coordinates to Find the Volume of the Solid $z = x ^ { 2 } + y ^ { 2 }$

Multiple Choice

Use polar coordinates to find the volume of the solid under the paraboloid $z = x ^ { 2 } + y ^ { 2 }$ and above the disk $x ^ { 2 } + y ^ { 2 } \leq 9$ .

A) $40.5 \pi$
B) $27 \pi$
C) $81 \pi$
D) $$324 \pi$$
E) $162 \pi$