Step 1: Analyze the characteristics of the desired products (utensils and cup-shaped products).
Utensils and cup-shaped products are typically hollow, often cylindrical or other complex shapes, and are formed from sheet metal.
Step 2: Evaluate each metal forming process option.
(1) Extrusion: Extrusion is a process used to create objects of a fixed cross-sectional profile. A material is pushed or drawn through a die of the desired cross-section. It's used for making long products like rods, tubes, and structural shapes, not typically for cup-shaped items or utensils from sheet metal.
(2) Forging: Forging is a manufacturing process involving the shaping of metal using localized compressive forces. It's used to produce discrete parts with improved strength and toughness, like crankshafts, gears, and hand tools. While some utensils might involve forging (e.g., knife blades), it's not the primary method for making cup-shaped hollow products.
(3) Deep drawing: Deep drawing is a sheet metal forming process in which a sheet metal blank is radially drawn into a forming die by the mechanical action of a punch. It is used to form complex three-dimensional parts from sheet metal, such as automotive body panels, sinks, and most notably, cups, cans, and other hollow, often cylindrical, products. This process is perfectly suited for making utensils (like bowls, pots, pans) and cup-shaped products.
(4) Rolling: Rolling is a metal forming process in which metal stock is passed through one or more pairs of rolls to reduce the thickness and make the thickness uniform. It's primarily used to produce sheets, plates, and structural shapes, not hollow or cup-shaped products.
Step 3: Conclude the most suitable process.
Based on the characteristics of the products mentioned (utensils and cup-shaped products), deep drawing is the most appropriate metal forming process.
The final answer is $\boxed{\text{3}}$.