SOLUTION: Micheal and Song are comparing the prices of soft drinks that are served in cylindrical shaped cups at their favorite restaurant. The first cup is 4.5 inches tall with a diameter o

Algebra ->  Finance -> SOLUTION: Micheal and Song are comparing the prices of soft drinks that are served in cylindrical shaped cups at their favorite restaurant. The first cup is 4.5 inches tall with a diameter o      Log On


   



Question 1137524: Micheal and Song are comparing the prices of soft drinks that are served in cylindrical shaped cups at their favorite restaurant. The first cup is 4.5 inches tall with a diameter of 3 inches, and the price is $0.99. The second cup is 6 inches tall with a diameter of 2.5 inches, and the price is $1.05. Micheal argues that the 6 inch tall cup is the better deal and Song disagrees. Who is correct? Justify your answer.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Compare [ cost ] / [unit volume ] for each
1st cup:
+.99+%2F+%28+pi%2A1.5%5E2%2A4.5+%29+=+.99+%2F+31.8086+
++.99+%2F+31.8086+=+.03112+
2nd cup:
+1.05+%2F+%28+pi%2A1.25%5E2%2A6+%29+
+1.05+%2F+29.4524+=+.03565+
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Song is right. The 1st cup has the
smaller [ cost ] / [ cubic in. ]
check my math