Postpublished at 18:11 British Summer Time 12 June 2019
Australia are now second in the table with six points, behind leaders New Zealand on net run rate.
Pakistan are eighth, above only South Africa and Afghanistan.
Pakistan threaten to get close but Starc takes two wickets in an over to end hopes
Sarfaraz and Wahab put on 64 for eighth wicket, but Wahab out on review for 45 off 38
Three wickets for Cummins, including having Imam (53) caught behind
Australia collapsed from 223-2 to 307 all out
Amir took 5-30 as last eight wickets fell for 84 runs
Warner hits 102-ball century - his first since ban for ball-tampering - before falling for 107
Asif Ali drops two simple catches - Warner on 104 and Finch, who went on to make 82, on 26
Jack Skelton
Australia are now second in the table with six points, behind leaders New Zealand on net run rate.
Pakistan are eighth, above only South Africa and Afghanistan.
#bbccricket
Sho: If Pakistan batted with any sense of sensibility they would've easily chased this down.
Naveed: Can’t wait for England to face this Australia side. Think we will absolutely hammer them especially if they put out this set of bowlers.
Michael Vaughan
Ex-England captain on BBC Test Match Special
Mohammad Amir produced a masterclass in how to bowl on a pitch that had a bit of nibble. It was his skill that saw him beat the batsmen regularly, not just the pitch though. To take 5-30 in 10 overs in an ODI these days is incredible.
Ramiz Raja
Ex-Pakistan captain on TMS
Every team is unpredictable to a certain degree but Pakistan are even more. It is term they do not like and the fans don't like.
Australia opener David Warner: "We should have been around 340-350, but credit to the way they bowled, their second spells were excellent.
"It was a used wicket and it was a tad dry and they bowled a very tight line and gave me no width. There was a bit of movement so you had to be tighter and you had to put the bad balls away.
"It means a lot to a batter to get a century. It was a great effort from Pakistan in the end but our bowlers bowled excellent. They probably got closer than we expected."
Michael Vaughan
Ex-England captain on BBC Test Match Special
I don't think Australia can win the World Cup playing at the standard they have today. But they have enough in their locker to get better and better. I can't see any way they do not make the semi-finals from here.
Vic Marks
Ex-England spinner on Test Match Special
Australia will be very satisfied with the victory. There were moments where it looked like they would muck it up - at the end of their innings when batting and then with a brilliant performance from Wahab Riaz.
Finch was running out of big bowlers but he has done an excellent job by not holding his big men back. He brought them back because the situation was getting critical and Starc and Cummins have done the business.
Pakistan were everything today. Sublime, woeful, inspired, feckless, ruthless, naive.
But Australia were too canny in the end - a fine century from David Warner on a tricky pitch ultimately getting them enough runs.
And then being able to call on the might of Pat Cummins and Mitchell Starc proved vital.
They do not have the highest ceiling of teams in this World Cup, but these sort of wins will make others very worried.
Vic Marks
Ex-England spinner on Test Match Special
It felt a lot closer than the 41 runs Australia have won by. It does not reflect the situation of 10 minute ago when it was anyone's game.
It is a brilliant run out from Maxwell to win the game.
Alison Mitchell
BBC Test Match Special
A brilliant bit of fielding!
Sarfaraz run out (Maxwell) 40 (Pak 266 all out)
And now a brilliant piece of fielding to end the match!
Shaheen Afridi drives into the ground and Glenn Maxwell leaps up at extra cover to take the ball one-handed above his head.
Sarfaraz Ahmed has taken a big walk down the pitch, eager to sneak a single and turns to make his ground.
No chance. Maxwell lands, sets himself, has one and a half stumps to aim at and doesn't miss.
Australia wheel away in delight and plenty of relief. That was a very close 41-run win.
Shaheen Afridi strides forward and plays and misses at Kane Richardson from round the wicket.
Two dot balls. Shaheen really needs to get off strike.
Vic Marks
Ex-England spinner on Test Match Special
Pakistan would like Shahid Afridi at this stage, not Shaheen.
It is now down to Sarfaraz to do something extraordinary.
Need 42 runs from 30 balls
Shaheen Afridi is a proper tailender. But he survives two balls from Mitchell Starc, even taking a single off the last.
Vic Marks
Ex-England spinner on Test Match Special
It was a full toss but it was a quick one. There was just a flicker of reverse swing.
Amir b Starc 0 (Pak 265-9)
Mitchell Starc is the Grim Reaper. You can stave off death for a while but he'll get you in the end.
Pakistan saw Starc off for 8.1 overs but the Aussie strike bowler has now taken two wickets in three (legitimate) balls to rip the heart out of this chase.
Full, 90mph and Amir can only inside edge it into his own stumps.
Target 308
Starc slides his first ball to Amir down leg to concede a wide but replies with one that beats him all ends up, just evading bat and stumps.
#bbccricket
Fenners: You just know Australia are going to find a way to win.
James: There is no sweeter sight than the Australian cricket team choking.
Ben Howard: Pakistan need to keep their heads, keep nudging it around, take advantage of any freebies and this game is theirs...
Vic Marks
Ex-England spinner on Test Match Special
If Ultra-edge is reliable it is out. It could not have hit anything else. Up came the squiggle. It's a big wicket but the game is not over. Amir knows how to hold a bat.
Wahab c Carey b Starc 45 (Pak 264-8)
There is a spike on UltraEdge! Wahab Riaz has to go!
Alex Carey was right, he alone heard that faint nick and rightly pushed Aaron Finch into reviewing. Fair play to the Aussie keeper.
Wahab just couldn't prevent himself from fending at that snorting lifter from Mitchell Starc, who strikes for the first time today.
Wahab trudges off. It's all on Safaraz Ahmed and Mohammad Amir now.