David Brown, who came into the game averaging 22.5 points a game for Western Michigan (5-2), was held to just 16. However the other Broncos stepped up as Tava totaled 16 points and 13 rebounds and Whittington had 14 points while pulling down 12 rebounds. Austin Richie contributed 15 points.
The Broncos took the lead 16-12 on a Brown layup and free throw at the 12:32 mark in the first period and held a 34-32 halftime advantage.
Dwight Tarwater made a 3-pointer to give Cornell (0-8) a 35-34 lead to start the second period. A Brown layup and free throw put the Broncos out front to stay early in the final period.
Nolan Cressler had 27 points and Hatter added 22 for Cornell.
Mississippi State freshman guard Malik Newman will withdraw from the NBA draft, but sources told ESPN he might explore other opportunities besides returning to Mississippi State.
Seton Hall sophomore Isaiah Whitehead will stay in the NBA draft and not return for his junior season.
Washington State's trio of Josh Hawkinson, Conor Clifford and Ike Iroegbu have withdrawn from the NBA draft and will play their senior season with the Cougars.