Covering a marble Imagine a flat-bottomed cylindrical pot with a circular cross section of radius 4 inch. A marble with radiu?s 0
Solution Step 1: Consider a marble with radius r, 0 2 2 dr dv > 0 when r < 2 2 dr d v Since dr = 8r and is negative Therefore volume is maximized when r = 2 2 Therefore the required value of r which requires most water to cover is 2 2 inch
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
The full step-by-step solution to problem: 22E from chapter: 4.4 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since the solution to 22E from 4.4 chapter was answered, more than 271 students have viewed the full step-by-step answer. This full solution covers the following key subjects: marble, radius, pot, inch, cover. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The answer to “Covering a marble Imagine a flat-bottomed cylindrical pot with a circular cross section of radius 4 inch. A marble with radiu?s 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?” is broken down into a number of easy to follow steps, and 47 words.