Using Spherical Coordinates, the Volume of the Solid Inside $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4 z$

Multiple Choice

Using spherical coordinates, the volume of the solid inside $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 4 z$ and above $x ^ { 2 } + y ^ { 2 } = z ^ { 2 }$ is

A) $8 \pi$
B) 7 $\pi$
C) $6 \pi$
D) $5 \pi$
E) 4 $\pi$