Which machine is capable of tapping a hole?

The ability to tap a hole, which is the process of creating internal threads within a pre-drilled hole, is primarily associated with the drill press. A drill press is specifically designed for precision drilling and can also be used for tapping operations by using a tapping attachment or chuck that holds the tap. This allows the machine to turn the tap while applying downward pressure, ensuring that the tap remains straight and that the threads are formed correctly within the material.

While lathes and milling machines can also perform tapping under certain conditions, they typically require more setup and aren’t specialized for this task in the way that a drill press is. A band saw, on the other hand, is completely unrelated to tapping operations; it's designed for cutting materials rather than creating holes or threads. Thus, the drill press is the most suitable option for efficiently and accurately tapping holes.