Eye of round roast is an economical cut of meatmeaning that it's budget-friendlybut it can also be tough and chewy if not cooked properly. Usually that means low and slow, but in this case, you should start the roast at a high heat (around 500 f) and cook it for about 18 to 20 minutes. Then, do something crazyturn off the oven and walk away for 2 to 2 1/2 hours. When you come back, the roast will be perfectly cooked with a nice crust and a juicy, pink center.