Consider the "ice cream cone" between the sphere of radius 4 centered at the origin, and the cone that is /3 up from the xy-plane. (Recall that in Cartesian coordinates, this cone can be described as

z = 3 ((x ^2 )+ (y ^2)) )

(a) (2 points) Sketch a side view and a top view of the "ice cream cone." Label appropriately.

(b) (4 points) Set up, but do not evaluate, an integral in Cartesian coordinates describing the volume of the "ice cream cone."

(c) (4 points) Set up, but do not evaluate, an integral in cylindrical coordinates describing the volume of the "ice cream cone."

(d) (4 points) Set up, but do not evaluate, an integral in spherical coordinates describing the volume of the "ice cream cone."