Consider a magnetic disk consisting of 16 heads and 400 cylinders. This disk is divided into four 100-cylinder zones with the cylinders in different zones containing 160, 200, 240, and 280 sectors, respectively. Assume that each sector contains 512 bytes, average seek time between adjacent cylinders is 1 msec, and the disk rotates at 7200 RPM. Calculate the (a) disk capacity, (b) optimal track skew, and (c) maximum data transfer rate.