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Jeff Withey had 17 points and 13 rebounds, Ben McLemore added 14 points and No. 9 Kansas used another big first-half run to help put away Richmond, 87-59 on Tuesday night.
Travis Releford and Naadir Tharpe each added 11 points, and Elijah Johnson had seven assists for the Jayhawks (9-1), who will ride an eight-game win streak into Saturday's showdown at No. 7 Ohio State - a rematch of last year's national semifinal won by Kansas.
The Jayhawks used an 18-0 first-half run to bury the Spiders, allowing them to push their home winning streak to 28 games, tied for the sixth-longest in school history.
Derrick Williams had 14 points and Cedrick Lindsay finished with 12 for the Spiders (9-3), who had been 7-3 in their last 10 games against ranked opponents.