Find the Volume of the Solid Bounded by the Paraboloid $z = 10 - 3 x ^ { 2 } - 3 y ^ { 2 }$

Multiple Choice

Find the volume of the solid bounded by the paraboloid $z = 10 - 3 x ^ { 2 } - 3 y ^ { 2 }$ and the plane $z = 4$ .

A) 14 $\pi$
B) 10 $\pi$
C) 5 $\pi$
D) 6 $\pi$
E) 16 $\pi$
F) 12 $\pi$
G) 3 $\pi$
H) $\pi$