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 $x ^ { 2 } + y ^ { 2 } \leq 25$ .

A) $2,500 \pi$
B) $625 \pi$
C) $312.5 \pi$
D) $1,250 \pi$
E) $208.3 \pi$