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PLACE cake on serving plate. Cut 3/4-inch-thick slice off top of cake; set slice aside. Carefully hollow out center of cake, leaving 1-inch-thick shell on bottom and sides. Reserve removed cake for snacking or other use.
POUR milk into medium bowl. Add dry pudding mix. Beat with wire whisk 2 min. or until well blended. Stir in lemon peel. Remove 1/2 cup of the pudding; place in medium bowl. Set aside. Spoon chopped strawberries into cake shell; spoon remaining pudding over strawberries. Replace top of cake.
ADD whipped topping to reserved 1/2 cup pudding; stir with wire whisk until well blended. Spread onto top and sides of cake. Refrigerate at least 1 hour before serving. Garnish with strawberry halves. Store leftovers in refrigerator.