Consider a volume filled with disc shaped particles with radius, r and height, h in a imple cubic packing arrangement with the disc in contact with each other. a. Determine the packing density as a function of r/h. b. Determine the maximum radius of another disc shaped particle as a function of r (with same height, h) that can fill up the pores in the simple cubic structure. Determine the packing density, and the volume fraction of smaller discs for this case. c. How will flowability of the bi-modal structure (two different sizes) will be as compared to unimodal structure. Assume the flow to be perpendicular to the direction of the height