Cold-rolled steel and hot-rolled steel differ primarily in their processing methods, which affect their properties and applications. 
Hot-rolled steel is produced by rolling the steel at high temperatures, typically over 1700°F, which is above the recrystallization temperature of most steels. This process makes the steel easier to shape and form, resulting in a product that is less expensive to produce. However, hot-rolled steel tends to have a rougher surface finish, looser tolerances, and may contain slight distortions due to cooling. It is commonly used in applications where precise shapes and tolerances are not critical, such as in construction, railroad tracks, and sheet metal.
Cold-rolled steel, on the other hand, is processed further in cold reduction mills at room temperature after being hot-rolled. This additional processing results in a product with a smoother surface finish, tighter tolerances, and increased strength due to strain hardening. Cold-rolled steel is more expensive to produce but offers superior surface quality and dimensional accuracy. It is often used in applications requiring precision and aesthetic appeal, such as in automotive parts, home appliances, and metal furniture.
In summary, the choice between cold-rolled and hot-rolled steel depends on the specific requirements of the application, including cost considerations, surface finish, dimensional accuracy, and mechanical properties.