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

Multiple Choice

Find the volume under the paraboloid $z = x ^ { 2 } + y ^ { 2 }$ above the region bounded by the x-axis, the y-axis, and the line x + y = 1.

A) $\frac { 1 } { 6 }$

B) $\frac { 1 } { 4 }$
C) $\frac { 1 } { 3 }$
D) $\frac { 1 } { 2 }$
E) $\frac { 2 } { 3 }$
F) $\frac { 3 } { 4 }$

G) $\frac { 5 } { 6 }$

H) 1