Find the Volume of the Solid Obtained by Intersecting the Two

Multiple Choice

Find the volume of the solid obtained by intersecting the two paraboloids $z = x ^ { 2 } + y ^ { 2 }$ and $z = 1 - x ^ { 2 } - y ^ { 2 }$ .

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

B) $\frac { \pi } { 4 }$

C) $\frac { \pi } { 3 }$

D) $\frac { \pi } { 2 }$

E) $\frac { 2 \pi } { 3 }$

F) $\frac { 3 \pi } { 4 }$

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

H) $\pi$