Number of tracks is totally dependant on how the manufacturer laid out the disk internally, which you will not know. All modern disks use LBA (logical block addressing), in which the OS addresses the drive on a sector-by-sector basis, not knowing or caring how or where the sectors are physically located on the platters (nor how many platters there actually are).
Not only that, but the number of sectors per track depends on how far out from the spindle motor you are at the time; it's not a spiral like on a CD. The further from the spindle you are, the more sectors per track (and thus the higher the transfer rate).
Since you do not know the number of sectors per track (which, again, varies depending where on disk you are), you cannot determine how many tracks exist, given capacity, number of sectors, and number of surfaces.
In other words, you don't. Period.
UPDATE:
If your teacher wants a mathematically correct answer, it would be (CAPACITY_IN_BYTES / BYTES_PER_TRACK) to get the number of tracks on disk, and if you want tracks per surface, divide the number of tracks on disk by the number of surfaces.
However, note that this is totally inapplicable to modern drives. The real answer is that it cannot be calculated since you do not know how many sectors per track there are (and there are a variable number in different zones of the disk) -- hence, there are too many unknowns to be able to solve the formula.
Quick answer: you can't. While drive geometry plays a part in the drive's performance it is not the only factor by far.
For one the on board cache of the drive (32MB is increasingly common) will disassociate the rate of the data being read from the disk from the data sent over the bus.
Best Answer
Almost all modern hard drives report 63 sectors per track, because that's the maximum allowed by the BIOS specs.
This number (along with heads and cylinders) is of course fake and used only for compatibility addressing with very old programs. Internally they use a simple sector number starting from 0 (called LBA mode).
The real sector per track number is not only much larger, but it also varies depending on the distance from the spindle. See, for example, this page from the makers of HDDScan.