Precalculus Textbook 8th Edition Section 1.1 Exercise 20 Solution
Question:
Comparing Cakes: A bakery sells a 9” by 13” cake for the same price as an 8” diameter round cake. If the round cake is twice the height of the rectangular cake, which option gives the most cake for the money?
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Solution:
Let the height of the rectangular cake = h.
Then, height of the round or circular cake is 2h.
Now, the volume of the rectangular cake is V = lbh = 13 x 9 x h = 117h
The volume of the circular cake is V = Pi(r)2h = 3.14 x 16 x h = 100.48h
Since 117h > 100.48h.
Thus, the rectangular cake is more than circular cake in the same amount of money.
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