$2.$ Consider a magnetic disk with a sector size $512$ bytes, $400$ tracks per surface, $100$ sectors per track, $4$ double$-$sided platters, average seek time of $10$ milliseconds, and average latency time $($i$.$e$.,$ average rotational delay$)$ is $8$ milliseconds. You can assume that $1$ block contains $2$ sectors and each track has an equal number of sectors to keep the question simple. Answer the below questions.

a$)$ What is the capacity of a track in bytes?

b$)$ What is the capacity of a cylinder in bytes?

c$)$ How many cylinders does the disk have?

d$)$ What is the capacity of the disk in bytes?

e$)$ If $1$ track of data is transferred during $1$ rotation of the disk platter, compute the block transfer time in milliseconds. You can assume that time required to rotate the disk platter once is equal to $\backslash (2^\{*\}\backslash )($average latency time$).$