Note that [cages](https://dwarffortresswiki.org/index.php/Cage) in Dwarf Fortress protect creatures inside them from drowning. Therefore you need to release the goblins from the cages in order to drown them. You could "build" the cages (which in Dwarf Fortress means placing them), link them all to a lever, flood the area with water and then release the goblins by pulling the lever. Alternatively you could release the goblins before flooding the area. Which course of action is more to your liking?
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