Question 347857: A bakery sells single layer mini-cakes that are 3 inches in diameter for $4 each. They also have a 9-inch cake for $15. If both cakes are the same thickness, which option gives you more cake for the money, nine mini-cakes or one 9-inch cake?
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! A bakery sells single layer mini-cakes that are 3 inches in diameter for $4 each. They also have a 9-inch cake for $15. If both cakes are the same thickness, which option gives you more cake for the money, nine mini-cakes or one 9-inch cake?
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Volume of cake = r^2(pi)
Let t = thickness
volume of mini-cake = (1.5)^2(3.14)t = 7.065t
Since there are nine mini-cake, total volume is: 9(7.065t) = 63.585t
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volume of 9-inch cake = 3^2(3.14)t = 28.26t
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Relate volume per cost:
mini-cake:63.585t/12 = 5.29875t (vol per dollar)
9-inch cake: 28.26t/15 = 1.884t (vol per dollar)
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Answer:mini-cake gives MORE volume per dollar
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