Find the Volume of the Solid Lying Inside the Cylinder $\pi$

Multiple Choice

Find the volume of the solid lying inside the cylinder x² + y² = 4, above the plane z = x - y - 8, and below the surface z = 8 - x³.

A) 72 $\pi$ cubic units
B) 64 $\pi$ cubic units
C) 48 $\pi$ cubic units
D) 32 $\pi$ cubic units
E) 56 $\pi$ cubic units