Find the Volume Under the Paraboloid $z = 4 x ^ { 2 } + y ^ { 2 }$

Multiple Choice

Find the volume under the paraboloid $z = 4 x ^ { 2 } + y ^ { 2 }$ above the triangle with vertices (0, 0, 0) , (3, 0, 0) , and (3, 1, 0) .

A) $\frac { 109 } { 4 }$

B) $\frac { 55 } { 2 }$
C) $\frac { 111 } { 4 }$
D) 28
E) $\frac { 113 } { 4 }$
F) $\frac { 57 } { 2 }$

G) $\frac { 115 } { 4 }$
H) 29