Click on the picture above. The sound you hear is made by the reed as it vibrates.
The chamber of each plastic model is shaped like your vocal tract - the cavity formed by your mouth and throat when you speak. Each time you say a different vowel, you change the shape of your vocal tract. That's why each model is a little different from the others. The plastic chambers pictures are aligned similar to your vocal tract with the vocal chords (duck call) at the bottom and the lips at the top.
At this exhibit, a puff of air from a bellows makes the duck call reed at the end of a hose vibrate, just as the air from your lungs makes your vocal cords vibrate. Like your vocal cords, the vibrating reed produces a complex sound composed of many different pitches.
Like your vocal tract, the plastic models shape these complex sounds into particular vowel sounds. When a complex sound echoes from the walls of the plastic cavity, some pitches are reinforced and some are not. It is the reinforcement and cancellation of certain pitches that changes the squawk of the duck call into a recognizable vowel sound.