For the dinner special at a restaurant, the customer must choose an appetizer, a salad, an entree, a side dish, and a dessert. H
ere are the items to choose from. Appetizer Chicken Strips, Onion Rings, Buffalo Wings Salad Caesar, Garden Entree Salmon, Lamb, Roast Turkey, Grilled Chicken Side Dish Corn, Mixed Vegetables, Pinto Beans Dessert Cheesecake, Chocolate Cake, Ice Cream, Brownies How many dinner specials are possible?
2 answers:
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Answer:
31.4 in³
Step-by-step explanation:
The box is just big enough to hold the 3 balls, so it must have a length 6 times the radius of each ball, a width 2 times the radius, and a height 2 times the radius.
The volume of the box is:
V = (6r)(2r)(2r)
V = 24r³
The volume of the 3 balls is:
V = 3 (4/3 π r³)
V = 4πr³
So the volume of the air is:
V = 24r³ − 4πr³
V = (24 − 4π) r³
Since r = 1.4 inches:
V = (24 − 4π) (1.4 in)³
V ≈ 31.4 in³
