Use Polar Coordinates to Find the Volume of the Solid $z = 7 - 6 x ^ { 2 } - 6 y ^ { 2 }$

Multiple Choice

Use polar coordinates to find the volume of the solid bounded by the paraboloid $z = 7 - 6 x ^ { 2 } - 6 y ^ { 2 }$ and the plane $z = 1$ .

A) $6 \pi$
B) $13 \pi$
C) $3 \pi$
D) $4.5 \pi$
E) $2 \pi$