A cylindrically-shaped mug with a 3cm radius and a 10cm 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/cm³)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)= 0.025(10 - h).Which of the following Riemann sums approximates the total mass of sugar (in grams)in the mug of tea? A) $\sum_{\text {allslices }} 3 \pi(0.025)(10-h) \Delta h$ B) $\sum_{\text {allslices }} 9 \pi(0.025)(10-h) \Delta h$ C) $\sum_{\text {allslices }} 3 \pi(0.025)(10-h)^{2} \Delta h$ D) $\sum_{\text {allslices }} 9 \pi(0.025)(10-h)^{2} \Delta h$

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The Answer of A cylindrically-shaped mug with a 3cm radius and a 10cm 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/cm³)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)= 0.025(10 - h).Which of the following Riemann sums approximates the total mass of sugar (in grams)in the mug of tea? A) $\sum_{\text {allslices }} 3 \pi(0.025)(10-h) \Delta h$ B) $\sum_{\text {allslices }} 9 \pi(0.025)(10-h) \Delta h$ C) $\sum_{\text {allslices }} 3 \pi(0.025)(10-h)^{2} \Delta h$ D) $\sum_{\text {allslices }} 9 \pi(0.025)(10-h)^{2} \Delta h$

A Cylindrically-Shaped Mug with a 3cm Radius and a 10cm ρ\rhoρ

A Cylindrically-Shaped Mug with a 3cm Radius and a 10cm $\rho$