So, a fairly routine win for India - you can read Stephan Shemilt's match report on the BBC Sport website, and listen back to highlights on BBC Radio 5 live sports extra from 13:00 GMT, as well as Test Match Special's World Cup podcasts.

As for Kevin Pietersen... I'm sure you can continue the debate on Twitter. And look out on the website later for the "Ask Vaughan" video where the former England skipper answers your questions.

That's it from us after a bit of a marathon game - we'll be back tomorrow morning at 03:00 GMT to talk you through Australia v Pakistan from Adelaide. Whether or not you have World Cup Fever, enjoy the rest of your day.

BBC Radio 5 live's Pat Murphy: "Colin Graves has confirmed he recently called Kevin Pietersen who then requested a meeting when he returned from the World Cup. Graves hasn't yet agreed to the meeting but says he'll try to accommodate Pietersen although he'll make no promises to him.

"Graves stressed it was a confidential phone call and that he can't comment any further until he takes over as ECB chairman on 15 May. But he did promise it'll be a different ECB under his leadership, with full consultation the key issue. Graves said Pietersen has just got to get on with what's best for him. The immediate priority for Pietersen will be getting released from his IPL contract to play county cricket."

India captain MS Dhoni: "It has been a good World Cup for us and we can't shy away from the fact that we are playing some good cricket.

"A month back we were struggling in this format so credit to the boys and the support staff. Everyone has had to lift themselves up. Not many players from our side are among the top run-scorers, but we're still scoring runs as a team."

Michael Vaughan
Ex-England captain on BBC Test Match Special

"People back home forget about Duncan Fletcher [who now coaches India]. He brought some good cricketers into the England side. He has a good eye for a cricketer. But he is also a good coach and is always looking. He will keep poking the India players with little comments to make sure they are still on it."

Bangladesh captain Mashrafe Mortaza: "The toss could've been important, we like to bat first but we can't complain. A score of 300 is always difficult to chase, 280 would have been much better.

"Except this game, everyone back home should be happy. Most of the players had only played two or three ODIs before the World Cup and are just starting their careers. Back home they should be happy and hopefully we can carry on from here. We don't have enough experience to play in these sort of matches, but we now know how we have to play."

Bangladesh Cricket:, external Well done Tigers throughout this tournament! Today was not our day. Nonetheless, the world has begun to see the #riseofthetigers #CWC15.

More from India batsman Rohit Sharma, who made 137, on TMS: "Bangladesh bowled really well, especially Rubel. When I went in I wanted to bat to the powerplay and look to be positive. At the same time, my thinking was calm, and my focus was spot on. We got 50 runs in the powerplay and I think that won us the game from there. The bowlers then did the job for us.

"We've spent four and half months in Australia and didn't do too well in the Test matches but a lot of planning has been there for this tournament. The amount of crowd we have in Melbourne is amazing. They have come from a lot of places and they have enjoyed some good cricket today."

Reaction from the captains coming soon.

I suspect we will hear more about a potential turning point in this game, when Rohit Sharma was "caught" off a delivery which was called a no-ball for height, when it did not appear to be above his waist. Given that virtually all wickets get checked for no-balls, it seems an anomaly of sorts.

Remember, if you want to send Michael Vaughan your questions, on England, Kevin Pietersen, the World Cup or anything else, please submit them to @bbctms on Twitter with the hashtag #askvaughan - or via the TMS Facebook page. He'll answer them on a video on the BBC Sport website later.

Looking back, we'd hoped for a closer game than we had between Sri Lanka and South Africa yesterday. I suppose we had one, but not by much.

After a great start by India, Bangladesh hit back in mid-innings, but the century stand between Rohit Sharma (137) and Suresh Raina (65) made the difference for India, despite some impressive death bowling from Bangladesh, 302-6 always looked like a winning score.

The fact that no Bangladesh batsman passed 35 tells its own story, despite some entertainment from Tamim Iqbal at the top of the order.

Greg: Hopefully a better side will deal better with India's constant use of short, bullying bowling.

Aashish: Aus/NZ in the semis? Not sure, Pak/Windies are two seriously talented unpredictable teams and can beat anyone on their day.

India centurion Rohit Sharma: "I think this is right up there as my most important innings. I wanted to bat for as long as possible to put the team into a good situation and the bowlers did a fantastic job as they did in the league stage.

"Batting at the top of the order, it's important to get big hundreds. I've been given the opportunity and I wanted to make the most of it. I'm happy with the way we performed as a team. We now have two games to go."

Image source, Getty Images

Michael Vaughan
Ex-England captain on BBC Test Match Special

"When England get knocked out of the World Cup it is the usual reaction. But for the long-term progress it may be a good thing as maybe an IPL-style tournament will arrive in England. For too long we have seen the 50-over game through Test match eyes.

"If you look at the 15 men England had in their squad they should have played a lot better. They went back into their shells, but in the tri-series they looked like it was this new modern method of playing.

"One of my real concerns for English cricket is we have all these performance programmes, but we don't seem to produce bowlers that can bowl at 145kph."

Andrew Samson
BBC Test Match Special statistician

"India are the first team to bowl the opposition out in seven consecutive World Cup games. SA bowled the opposition out in six consecutive games in 2011.

"MS Dhoni is the third captain to get 100 ODI wins, after Ricky Ponting (165) and Allan Border (107)."

Andrew McDonald
Ex-Australia all-rounder on BBC Test Match Special

On Rohit Sharma's innings of 137: "It is a significant knock in his career. This has the meaning and the hype. He will put it up there with his best. He had some luck but take nothing away from him, he built that and took it deep into the innings to give the platform to build a total around."

Desmond Cassidy: Well I am hoping for a Australia v South Africa final...a repeat of the 2007 semi-final would be a great final...

I'm not sure many people's heart rates could take a repeat of the 1999 semi-final between those two teams!

As expected, India's Rohit Sharma wins the man-of-the-match award for his 137 from 126 balls.

Image source, Getty Images

To confirm, India will play the winners of tomorrow's Australia-Pakistan game in the semis. Here's the line-up as it stands:

• Tuesday 24 March: New Zealand or West Indies v South Africa, Auckland (01:00 GMT)

• Thursday 26 March: Australia or Pakistan v India, Sydney (03:30 GMT)

Andrew McDonald
Ex-Australia all-rounder on BBC Test Match Special

"People were questioning India before this World Cup but like a good racehorse they have picked up in form and are now performing in the big event."

Bangladesh 193 all out from 45 overs

Fall of wickets: 33-1 (Tamim 25), 33-2 (Kayes), 73-3 (Mahmudullah 21), 90-4 (Sarkar 29), 104-5 (Shakib 10), 139-6 (Mushfiqur 27), 189-7 (Nasir 35), 192-8 (Mortaza 1), 193-9 (Rubel 0), 193-10 Sabbir 30)

Bowling figures: Yadav 9-1-31-4, Shami 8-1-37-2, Mohit 7-0-36-1, Ashwin 10-1-30-0, Raina 3-1-15-0, Jadeja 8-0-42-2

Not out batsman: Taskin 0

India 302-6: Rohit 137, Raina 65, Taskin 3-69

India won toss

Listen to TMS commentary via the audio icon.

Scorecard