The answer to 'why is my garbage disposal burst pipe' is that a burst pipe connected to the garbage disposal is usually caused by a clogged or jammed disposal. When the disposal can't properly grind and drain waste, pressure builds up and can cause the connected pipe to burst or leak.
Some common symptoms of a burst pipe from a garbage disposal include water leaking from under the sink, gurgling sounds, and the disposal not working properly. To fix this, you'll need to unclog the disposal, inspect the pipes for damage, and potentially replace the burst pipe segment.