Suppose you make napkin rings by drilling holes with different diameters through two wooden balls (which also have different diameters). You discover that both napking rings have the same height h. Guess which ringhas more wood in it. Then use the shell method to compute the volume of a napking ring created by drilling a hole with radius r through the center of a sphere of radius R and express the answer in terms of h. Finally find the amount of wood in two different napkin rings: one with h=2in, r=.5in ,and R=1.5in. and the second napkin ring with h=2in, r=.75in, and R=2
Suppose you make napkin rings by drilling holes with different diameters through two wooden balls (which also have different diameters). You discover that both napking rings have the same height h. Guess which ringhas more wood in it. Then use the shell method to compute the volume of a napking ring created by drilling a hole with radius r through the center of a sphere of radius R and express the answer in terms of h. Finally find the amount of wood in two different napkin rings: one with h=2in, r=.5in ,and R=1.5in. and the second napkin ring with h=2in, r=.75in, and R=2
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 25A
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Suppose you make napkin rings by drilling holes with different diameters through two wooden balls (which also have different diameters). You discover that both napking rings have the same height h. Guess which ringhas more wood in it. Then use the shell method to compute the volume of a napking ring created by drilling a hole with radius r through the center of a sphere of radius R and express the answer in terms of h. Finally find the amount of wood in two different napkin rings: one with h=2in, r=.5in ,and R=1.5in. and the second napkin ring with h=2in, r=.75in, and R=2.
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