Josh Richardson registered a career-high 26 points and Antonio Barton netted 18 points for the Volunteers (24-12), who built a double-digit halftime lead by outrebounding the Bears by a 24-4 margin in the first half while outscoring the Bears 22-10 in the paint.
Tennessee, which secured a spot in the Sweet 16 for the seventh time in school history and first since 2010, will take on the Michigan Wolverines next Friday in a Midwest Regional semifinal in Indianapolis.
Langston Hall scored 15 points to pace the 14th-seeded Bears (27-9), who upended Duke in the second round to become just the 18th No. 14 seed to defeat a No. 3 seed in the history of the NCAA Tournament.