Chris O'Grady opened the scoring after 18 minutes, drilling in a left foot shot from 18 yards before being gifted a second after 50 minutes when Robins keeper Scott Brown misjudged an Andy Haworth cross, palming the ball invitingly into his path six yards from goal.
Defender Craig Dawson then added a third after 56 minutes, bundling in a Tom Kennedy free-kick at the back post.
Robins defender Michael Townsend capped a fine individual display with an injury-time consolation goal before O'Grady raced through to score Rochdale's fourth and his hat-trick.
Hill said: "The first 20 minutes you could see the opposition were willing to challenge but in my opinion we're one of the fittest teams in the league, with or without the ball, and very good at stretching the opposition.
"We know we are going to create more opportunities because we're very fit and exploit opposition weaknesses, and we did that to good effect and it could have been five, six or seven."
Source: Team Talk