A Solid Is Generated by Revolving the Region Bounded By y

Multiple Choice

A solid is generated by revolving the region bounded by $y = \frac { 1 } { 12 } x ^ { 2 } \text { and } y = 12$ about the y-axis. A hole, centered along the axis of revolution, is drilled through this solid so that one-fourth of the volume is removed. Find the diameter of the hole. Round your answer
To three decimal places.

A) 10.733
B) 11.167
C) 4.392
D) 2.536
E) 8.785