* C10 refers to a series of Chevrolet trucks produced from 1960 to 1987 (and variations thereof continued later). It's a classic truck.
* Silverado is a nameplate Chevrolet has used for its full-size pickup trucks since 1999. It's a more modern truck.
Think of it like comparing a Ford Model T to a modern Ford F-150. They're both Fords, but vastly different vehicles.