Suppose you make napkin rings by drilling holes with different diameters through two wooden balls (which also have different diameters). You discover that both napkin rings have the same height 7h, as shown in the figure. (Let a = 7.) Use cylindrical shells to compute the volume V of a napkin ring of height 7h 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.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
Problem 54AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...
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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 napkin rings have the same height 7h, as shown in the figure. (Let a = 7.)

Use cylindrical shells to compute the volume V of a napkin ring of height 7h 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.

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