Quick Answer: How Deep Does a Metal Detector Go?
For a coin-sized object, about as deep as your search coil is wide. A 10-inch coil finds a coin at roughly 10 inches; a 6-inch coil at roughly 6.
That is not a rule of thumb somebody made up for a blog post. It is Garrett's own wording, on their Searchcoil Basics support page: "The detection depth of a searchcoil, as a rule-of-thumb, will be approximately equal to its diameter, for a coin-sized object."
It stops working above about 15 inches. The same page explains why: as a coil gets bigger its field pattern becomes less concentrated and starts to miss small objects, an effect that "becomes noticeable when using searchcoils larger than about 15″ in diameter". Buying a 19-inch coil does not buy you 19 inches on a dime.