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A Cylindrically-Shaped Mug with a 3 Cm Radius and a 10

Question 31

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A cylindrically-shaped mug with a 3 cm radius and a 10 cm height is filled with tea.You have added some sugar to the tea, which tends to settle to the bottom of the mug.It turns out that the density ρ\rho of sugar (in gm/cm3)in the tea, as a function of the height, h, in cm, above the bottom of the mug, is given by the formula ρ\rho (h)= 0.01(10 - h).Find the amount of sugar in the mug.Round to 2 decimal places.  A cylindrically-shaped mug with a 3 cm radius and a 10 cm height is filled with tea.You have added some sugar to the tea, which tends to settle to the bottom of the mug.It turns out that the density  \rho  of sugar (in gm/cm<sup>3</sup>)in the tea, as a function of the height, h, in cm, above the bottom of the mug, is given by the formula  \rho (h)= 0.01(10 - h).Find the amount of sugar in the mug.Round to 2 decimal places.

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