solid mensuration

A cylindrical mug of hot chocolate measures 9.2 cm in diameter and has a height of 12.6 cm. The top 2.5 cm of the mug is filled with whipped cream; the rest is hot chocolate. Rounding to the nearest mL, how much hot chocolate is in the mug? (1 cubic centimeter = 1 liter)

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  1. The height of the cylindrical column of hot chocolate is
    H = 12.6 - 2.5 = 10.1 cm.

    The volume of hot chocolate is
    V = pi*(d^2/4)*H
    where d = 9.2 cm is the diameter.

    V = 67.1 cm^3

    That is less than 3 fluid ounces.

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    posted by drwls
  2. I get = 671.4 cm^2

    Perhaps DrWls must have missed a decimal place.

  3. Yes, seems like I did.

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    posted by drwls

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