The Test Match Special podcast will be available later here.
Join us tomorrow from 09:45 BST for India against New Zealand.
And we'll also have live coverage of England's women against West Indies from 13:25.
Let's hope the rain stays away - it was very pleasant having cricket back after a miserable few days.
For now, farewell.
Post update
But, with Australia increasingly nervous, Mitchell Starc had the final say.
He had Wahab Riaz caught behind after overturning the not out decision on review, before he bowled Mohammad Amir.
Glenn Maxwell then wrapped it up with a stunning bit of fielding to run out Pakistan skipper Sarfaraz Ahmed.
Post update
Wahab Riaz had other ideas though...
Post update
Michael Vaughan
Ex-England captain on BBC Test Match Special
You don't know which Pakistan is going to turn up on a given day. Today you didn't know which would arrive in five over blocks. At the start a lot of them looked they they hadn't It was a pitch-up morning and they bowled too short and too wide.
I don't see where they are suddenly going to start firing. What we saw in the field I have seen too consistently.
With the bat in hand they are making poor judgements. They were bounced out here and were bounced out against West Indies. They have got to beat India on Sunday now and for me India have been the best team in the tournament so far.
Post update
And the chase looked to be petering out to a tame end as Pakistan slipped to 200-7...
Post update
In fact, plenty of Pakistan batsmen looked in good nick, only to fall to poor shots...
Post update
Pakistan's chase didn't get off to the best start, with opener Fakhar Zaman out for a duck and Babar Azam then falling for 30 despite looking in great nick...
Post update
Michael Vaughan
Ex-England captain on BBC Test Match Special
I'd be frustrated at Glenn Maxwell. They don't know how to use him but he's got to be better too. People from outside say you've got to put him up the order, well he was today. He got to 20 playing nicely but then got out to a nothing shot. He's got to rotate the strike and start playing with less risk.
Post update
Having looked on course for 350 at least at one point, Australia were pegged back brilliantly by Pakistan.
Not least by Mohammad Amir, who ended up with 5-30 off his 10 overs, having Mitchell Starc caught off the last ball of the 49th over to dismiss Australia for 307.
Post update
David Warner had an eventful time around reaching his century - nicking just beyond slip to get to three figures, getting dropped on 104 (Asif Ali having another shocker) and then finally falling for 107...
Post update
Michael Vaughan
Ex-England captain on BBC Test Match Special
We have seen some wonderful bowling in the tournament but that was an exhibition from Mohammad Amir. It was a masterclass of how to bowl on a pitch that was doing a bit. It was his skill that outdid the batsmen not the conditions, 5-30 in this era is astonishing
Post update
Pakistan started to make inroads after Aaron Finch fell for 82 and Steve Smith made just 10.
Glenn Maxwell was sent in up the order and blasted a rapid 20, only to get bowled playing an ugly hoik...
Post update
David Warner was also looking back to near his fluent best after a scratchy start to this World Cup...
Post update
Pakistan won the toss and elected to field first on a green-tinged pitch under overcast skies in Taunton.
Plenty in it for the bowlers but Pakistan, Mohammad Amir aside, were sloppy. Not pitching it in the right areas and Asif Ali dropping a dolly when Aaron Finch was on 26.
The Australia captain started to capitalise...
Post update
Ramiz Raja
Ex-Pakistan captain on TMS
In a 300 run chase you need a century from your top order - 30s and 40s are not going to win you the game.
Post update
Michael Vaughan
Ex-England captain on BBC Test Match Special
I think Australia will have to play to a better standard to win the tournament but they are winning. The World Cup is a long tournament and it is about peaking in the semi-finals. I can't see them not getting to the semi-final.
I don't think they have their middle order right. I think you play Khawaja as an opener or not at all and they need a spinner.
Post update
Geoff Lemon
BBC Test Match Special
Australia have been lucky on a couple of occasions now. Mitchell Starc saved them against West Indies and he did it again here. They were short despite hitting 307. From where they were, they should have got closer to 400.
Their batting is disjointed too. Usman Khawaja ended up coming in at number six - he's never batted at six in a List A game, let alone a World Cup match!
Post update
Pakistan captain Sarfaraz Ahmed: "I'm very disappointed. We lost three wickets in 15 balls and that's why we lost.
"We conceded too many runs in the first 20 overs apart from Mohammad Amir. We came back and restricted them well but it was a 270-280 pitch.
"We made some runs and got starts but we've got to convert them and go long. If you want to win matches your top four must score runs."
The winning moment
One heck of a piece of fielding from Glenn Maxwell to end the game...
Post update
Michael Vaughan
Ex-England captain on BBC Test Match Special
There was some brilliant play and some atrocious play. I think Pakistan have gifted five or six dismissals with poor shots.
Just when it started get panicky Finch maneuvered his bowling attack and it has paid off.
That is what you have to do as a captain. It was his instinct to go for that review. He thought 'we have to gamble'. He got a lot of things right as a captain. I thought he was outstanding.
Live Reporting
Jack Skelton
All times stated are UK
Get involved
Latest PostFarewell
And that's your lot for this live text, thanks for reading. A belting match, if a bit of a shame it didn't end up being a final-over thriller.
Stephan Shemilt's report of Australia's 41-run win over Pakistan is here.
The scorecard is here and the table is here.
The Test Match Special podcast will be available later here.
Join us tomorrow from 09:45 BST for India against New Zealand.
And we'll also have live coverage of England's women against West Indies from 13:25.
Let's hope the rain stays away - it was very pleasant having cricket back after a miserable few days.
For now, farewell.
Post update
But, with Australia increasingly nervous, Mitchell Starc had the final say.
He had Wahab Riaz caught behind after overturning the not out decision on review, before he bowled Mohammad Amir.
Glenn Maxwell then wrapped it up with a stunning bit of fielding to run out Pakistan skipper Sarfaraz Ahmed.
Post update
Wahab Riaz had other ideas though...
Post update
Michael Vaughan
Ex-England captain on BBC Test Match Special
You don't know which Pakistan is going to turn up on a given day. Today you didn't know which would arrive in five over blocks. At the start a lot of them looked they they hadn't It was a pitch-up morning and they bowled too short and too wide.
I don't see where they are suddenly going to start firing. What we saw in the field I have seen too consistently.
With the bat in hand they are making poor judgements. They were bounced out here and were bounced out against West Indies. They have got to beat India on Sunday now and for me India have been the best team in the tournament so far.
Post update
And the chase looked to be petering out to a tame end as Pakistan slipped to 200-7...
Post update
In fact, plenty of Pakistan batsmen looked in good nick, only to fall to poor shots...
Post update
Pakistan's chase didn't get off to the best start, with opener Fakhar Zaman out for a duck and Babar Azam then falling for 30 despite looking in great nick...
Post update
Michael Vaughan
Ex-England captain on BBC Test Match Special
I'd be frustrated at Glenn Maxwell. They don't know how to use him but he's got to be better too. People from outside say you've got to put him up the order, well he was today. He got to 20 playing nicely but then got out to a nothing shot. He's got to rotate the strike and start playing with less risk.
Post update
Having looked on course for 350 at least at one point, Australia were pegged back brilliantly by Pakistan.
Not least by Mohammad Amir, who ended up with 5-30 off his 10 overs, having Mitchell Starc caught off the last ball of the 49th over to dismiss Australia for 307.
Post update
David Warner had an eventful time around reaching his century - nicking just beyond slip to get to three figures, getting dropped on 104 (Asif Ali having another shocker) and then finally falling for 107...
Post update
Michael Vaughan
Ex-England captain on BBC Test Match Special
We have seen some wonderful bowling in the tournament but that was an exhibition from Mohammad Amir. It was a masterclass of how to bowl on a pitch that was doing a bit. It was his skill that outdid the batsmen not the conditions, 5-30 in this era is astonishing
Post update
Pakistan started to make inroads after Aaron Finch fell for 82 and Steve Smith made just 10.
Glenn Maxwell was sent in up the order and blasted a rapid 20, only to get bowled playing an ugly hoik...
Post update
David Warner was also looking back to near his fluent best after a scratchy start to this World Cup...
Post update
Pakistan won the toss and elected to field first on a green-tinged pitch under overcast skies in Taunton.
Plenty in it for the bowlers but Pakistan, Mohammad Amir aside, were sloppy. Not pitching it in the right areas and Asif Ali dropping a dolly when Aaron Finch was on 26.
The Australia captain started to capitalise...
Post update
Ramiz Raja
Ex-Pakistan captain on TMS
In a 300 run chase you need a century from your top order - 30s and 40s are not going to win you the game.
Post update
Michael Vaughan
Ex-England captain on BBC Test Match Special
I think Australia will have to play to a better standard to win the tournament but they are winning. The World Cup is a long tournament and it is about peaking in the semi-finals. I can't see them not getting to the semi-final.
I don't think they have their middle order right. I think you play Khawaja as an opener or not at all and they need a spinner.
Post update
Geoff Lemon
BBC Test Match Special
Australia have been lucky on a couple of occasions now. Mitchell Starc saved them against West Indies and he did it again here. They were short despite hitting 307. From where they were, they should have got closer to 400.
Their batting is disjointed too. Usman Khawaja ended up coming in at number six - he's never batted at six in a List A game, let alone a World Cup match!
Post update
Pakistan captain Sarfaraz Ahmed: "I'm very disappointed. We lost three wickets in 15 balls and that's why we lost.
"We conceded too many runs in the first 20 overs apart from Mohammad Amir. We came back and restricted them well but it was a 270-280 pitch.
"We made some runs and got starts but we've got to convert them and go long. If you want to win matches your top four must score runs."
The winning moment
One heck of a piece of fielding from Glenn Maxwell to end the game...
Post update
Michael Vaughan
Ex-England captain on BBC Test Match Special
There was some brilliant play and some atrocious play. I think Pakistan have gifted five or six dismissals with poor shots.
Just when it started get panicky Finch maneuvered his bowling attack and it has paid off.
That is what you have to do as a captain. It was his instinct to go for that review. He thought 'we have to gamble'. He got a lot of things right as a captain. I thought he was outstanding.