Find the Volume of the Solid Obtained by Intersecting the Two

Multiple Choice

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

A) $\frac { \pi } { 12 }$

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

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

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

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

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

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

H) $\pi$