Question

Asked Oct 2, 2019

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Suppose you are drinking root beer from a conical paper cup. The cup has a diameter of 10 centimeters and a depth of 11 centimeters. As you suck on the straw, root beer leaves the cup at the rate of 6 cm^{3}/sec. At what rate is the level of the root beer in the cup changing when the root beer is 8 centimeters deep?

The rate the root beer depth is dropping is (minus) cm/sec.

Step 1

From the given information, the radius of the cone is 5 centimeters and height(depth) of the cone is 11 centimeters.

Step 2

Find the relation between *r* and *h*.

Step 3

Differentiate with respect to *...*

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