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1 After 3 hours, turn the roast onto one side and cook for 20 minutes. 2  After 20 minutes, turn the roast on the next side and cook 20 minutes, repeat until the roast has the fat side on the bottom again. 3  Cook for about 2 more hours usually 6 hours total. 4  The roast is done when it shreds easily with a fork.
Three Methods: Cooking the Roast in the Oven Cooking the Roast on the Stove-Top Cooking the Roast in a Slow Cooker. Eye of round roast is a cheap, lean cut of beef with a tendency to be tough if cooked improperly. However, when cooked the right way, this cut of meat transforms into a delicious, juicy roast.. Calculate the cooking time for your roast at 7 minutes per 1 lb. of meat (7 minutes per 453g). When you have cooked your roast to these specifications, turn the oven off but do not open the door or remove the roast.