"The game was set up by our bowlers who kept taking wickets," said former captain Ponting, who was named man of the match.
"I am getting a few runs, so not being captain must be working all right."
Watson, who became the first batsman to complete 1,000 runs in one-dayers this year, was bowled by paceman Lasith Malinga after hitting one six and four boundaries in his 51-ball knock.
Bollinger was earlier superbly backed by fast bowlers Mitchell Johnson and Brett Lee, who bagged two wickets apiece.
"It was not a great day for us," said Sri Lanka captain Tillakaratne Dilshan.
"We didn't get enough runs. This was a 250 pitch. We have to work things out as a batting unit. Ponting and Clarke batted really well.
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Former captain Kumar Sangakkara top-scored for Sri Lanka with a patient 52, hitting just one six and one four in his 85-ball knock. He added 63