From the moment Mitchell Starc bowled Tanzid Hasan with the third ball of the match, Australia were in control in North Sound.
The wicket takes Starc past Lasith Malinga for the most wickets (95) across men’s T20 and 50-over World Cups.
A fragile Bangladesh batting line-up was no match for a high-class and vastly experienced Australia attack.
Shanto and Litton Das put on 58 for the second wicket but even then there was always an assuredness about Mitchell Marsh’s side.
Their confidence was well placed as Zampa came on to break the partnership and they continued to chip away for the remainder of the Bangladesh innings.
Cummins made absolutely sure there would be no big finish for the Tigers as Mahmudullah dragged a short ball onto his stumps before Mahedi Hasan guided the next ball to deep third.
Hridoy then scooped the first ball of Cummins’ next over to Josh Hazlewood at short fine leg as the seventh hat-trick at men’s T20 World Cup was completed.
Warner and Travis Head got Australia off to a flyer in the chase before Rishad’s double strike after the rain break briefly slowed their progress.
But Warner, who was dropped on five, soon had the 2021 champions back on track as he brought up his half-century with a six before the rain returned.
Australia join India on two points at the top of Group 1 and will face Afghanistan in their next match on Sunday (01:30 BST).
Bangladesh are back in action against India on Saturday (15:30 BST).