Solution Found!
Covering a marble Imagine a flat-bottomed cylindrical pot
Chapter 7, Problem 22E(choose chapter or problem)
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?
Questions & Answers
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