The Volume of the Solid Bounded $x = 0 , x = 1 - y ^ { 2 } , x ^ { 2 } + y ^ { 2 } = z$

Multiple Choice

The volume of the solid bounded $x = 0 , x = 1 - y ^ { 2 } , x ^ { 2 } + y ^ { 2 } = z$ and z = 0 is

A) $\frac { 3 } { 7 }$
B) $\frac { 4 } { 7 }$
C) $\frac { 5 } { 7 }$
D) $\frac { 6 } { 7 }$
E) $\frac { 8 } { 7 }$