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A Coffee Filter Is in the Shape of a Cone h\sqrt{h}

Question 21

Multiple Choice

A coffee filter is in the shape of a cone, as shown below.Suppose that when it is filled with water to a height h cm, the rate at which coffee flows out the hole at the bottom is given by Volume of coffee which flows out per second = h\sqrt{h} cm3 / sec.  A coffee filter is in the shape of a cone, as shown below.Suppose that when it is filled with water to a height h cm, the rate at which coffee flows out the hole at the bottom is given by Volume of coffee which flows out per second =  \sqrt{h}  cm<sup>3</sup> / sec.   Approximately how many cubic centimeters are in the  slice  of coffee lying below h +  \Delta h and above h? A)   \pi h^{3} \Delta h  B)   \pi h \Delta h  C)   \pi h^{2} \Delta h  D)   \pi h^{3 / 2} \Delta h Approximately how many cubic centimeters are in the "slice" of coffee lying below h + Δ\Delta h and above h?


A) πh3Δh\pi h^{3} \Delta h
B) πhΔh\pi h \Delta h
C) πh2Δh\pi h^{2} \Delta h
D) πh3/2Δh\pi h^{3 / 2} \Delta h

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