Pat Cummins was delighted with Australia's "brave" approach after they thrashed Sri Lanka by 10 wickets on day three of the first Test.

The tourists took a first-innings lead of 109 at the Galle International Stadium on Friday before bowling Sri Lanka out for only 113.

Nathan Lyon took 4-31 after claiming a five-wicket haul in the first innings, and part-time spinner Travis Head, who had never taken a Test wicket, claimed stunning figures of 4-10 as Sri Lanka folded.

Mitchell Swepson took the other two wickets, and after being set only five runs to take a 1-0 lead in the two-match series, David Warner hit Ramesh Mendis for four and then six inside the first over to seal an emphatic victory.

Australia captain Cummins said: "A couple of new words we're using about our approach is about being proactive and being brave.

"We saw some really clear methods from all the batters. They might have been individually a bit different, but you saw everyone being really proactive and putting pressure back on the bowlers. It's something you'd normally talk about in one-day cricket or T20 cricket. But I think that's the style over here that's needed."

He added: "I think it's part of the environment that we are trying to create. Failure is absolutely okay, as long as you are failing in a way you are happy to be."

The paceman lavished praise on spinner Lyon, who moved into the top 10 on the list of all-time leading Test wicket-takers by taking his tally to 436.

"I wouldn't change Lyon for anyone," Cummins said. "He's gone into the top 10 wicket-takers of all time. You saw him out there. He's unplayable for left or right-handers.

"Sometimes out here, bounce for spinners is spoken about [as] something that's not desirable, but he showed here with that bounce he was unplayable. His stamina as well – you give him the ball from one end and say see you at the end of the day."