Question
Asked Oct 17, 2019
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Coffee drips into a cylindrical coffee pot at a rate of 10 in3/min. How fast is the level in
the pot rising when there are 2 in of coffee in the pot? Draw a picture, introduce GOOD
notation, set up an equation that relates the variables, and solve.

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Expert Answer

Step 1

 

For the volume of the coffee on the conical filter F at any given time t, refer to the figure:

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2r 2r 2r

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Step 2

The volume of a cylinder is

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Step 3

In a cylinder, the radius is a const...

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Vnjr) h (rR) RTh d ) = R7 dh dt dt

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