Covering a marble Imagine a flat-bottomed cylindrical pot

Chapter 7, Problem 22E

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QUESTION:

Imagine a flat-bottomed cylindrical pot with a circular cross section of radius 4 in. A marble with radius 0 < r <4 in is placed in the bottom of the pot. What is the radius of the marble that requires the most water to cover it completely?

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QUESTION:

Imagine a flat-bottomed cylindrical pot with a circular cross section of radius 4 in. A marble with radius 0 < r <4 in is placed in the bottom of the pot. What is the radius of the marble that requires the most water to cover it completely?

ANSWER:

Solution Step 1: Consider a marble with radius r, 0 2 2 dr dv > 0 when r < 2

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