Using Spherical Coordinates, the Volume of the Solid Inside $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 2 z$

Multiple Choice

Using spherical coordinates, the volume of the solid inside $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 2 z$ and above $x ^ { 2 } + y ^ { 2 } = z$ is

A) $\frac { 7 \pi } { 2 }$
B) $\frac { 7 \pi } { 3 }$
C) $\frac { 7 \pi } { 5 }$
D) $\frac { 7 \pi } { 6 }$
E) $\frac { 7 \pi } { 4 }$