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

Multiple Choice

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) $\sum_{\text {allslices }} 9 \pi(0.025) (10-h) ^{2} \Delta h$