This problem is still being typed. 
Mechanics}Moment of Inertia
The moment of inertia of the center penny about the center is just
The moment of inertia of any one of the other pennis about the center is given by the parallel axis theorem, , where d is the distance from the new point from the center of mass. for each penny, and thus one has , since the distance from the center of each penny to the center of the configuration is 2r.
Since there are 6 pennies on the outside, one has the total inertia , as in choice (E).
