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

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 = $\sqrt{h}$ cm³ / 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) \(\pi h^{3 / 2} \Delta h\)

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