However, the Sri Lankan batsmen again failed to rise to the challenge and they were 77 for four when rain did stop play after 29.3 overs, leaving them well short of the required 102 under the Duckworth-Lewis method.
The Duckworth-Lewis method is a system of calculating a team's score in a game that has been cut short.
The loss means Sri Lanka, having won just one of their six games in the tri-series, will have to win their last two matches, against India and Australia, to have any chance of reaching the finals.
On the other hand, Australia booked their place in the finals again with their seventh successive win over Sri Lanka.
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Just one partnership was enough for Australia to win, with Mike Hussey (64 not out) and Michael Clarke (50) putting on almost half of their total with a fifth-wicket stan