"Plastics" is a generic term that covers a whole bunch of man-made materials, including nylon, marelon, PVC, polypropylene and two types of polyethylene, among others. What works to bond one type of plastic or even one type to another type, will not necessarily work permanently on others. PE is the only one I know of to which NO sealant will bond permanently because it's a very oily plastic. It'll keep two pieces together for a while, but how long depends on what's being mended and how much stress is being applied to the bond. Water and waste weigh 8.333 lbs/gal, putting an increasing amount of stress on any sealant in a crack in a wall of a PE water or waste tank, as it tries to reopen it.
Heat sealing is the only permanent fix because both sides of the crack are melted--quite a bit in fact-- and new melted PE is mixed with them, creating a new single mass. (This is an over-simplification of the process, btw) The skill in doing it is in knowing how much of the old PE to melt and how much new to blend with it. The process is necessary to install install female tank fittings in a PE tank...except that this is done using a "spin welder" that heats the edges of the hole the right amount and injects new PE at the same time.
To repeat my advice: call a pro. And count your blessings that it's a water tank, not a waste holding tank few if any shops will touch a used waste tank.
--Peggie