Use a Spherical Coordinate Integral to Find the Volume of the Given

Multiple Choice

Use a spherical coordinate integral to find the volume of the given solid.
-the solid between the sphere $\varrho = 1$ and the cardioid of revolution $\varrho = 6 + 4 \cos \varphi$

A) $\frac { 622 } { 3 } \pi$
B) $\frac { 1244 } { 3 } \pi$
C) $\frac { 1555 } { 6 } \pi$
D) $\frac { 1555 } { 3 } \pi$