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calculusisfun
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Homework Statement
A cylinder mug with a 4 centimeter radius and 8 centimeter height is filled with tea. When sugar is added to the tea, the sugar usually settles to the bottom of the cylinder mug. The density of sugar in the tea at a height h centimeter from the bottom of the cylinder mug is given by the following formula: d(h) = 0.01(8-h). [Note: mass = (volume)(density)]
Write a definite integral that gives the mass of sugar in the mug exactly.
2. The attempt at a solution
Volume of the mug: [PLAIN]http://img839.imageshack.us/img839/2599/calc3.png
Mass = volume x density
Mass = [PLAIN]http://img215.imageshack.us/img215/3589/calc4.png
Not sure if I did this right or completely wrong.
Help would be much appreciated. :)
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