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 3h, as shown in the figure. (Let a = 3.) ah (a) Which ring has more wood in it? O The amount of wood in each napkin ring is the same regardless of the size of the sphere used. O The napkin ring created by drilling a hole with the larger radius has more wood in it. O The napkin ring created by drilling a hole with the smaller radius has more wood in it. (b) Use cylindrical shells to compute the volume V of a napkin ring of height 3h 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. V =
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 3h, as shown in the figure. (Let a = 3.) ah (a) Which ring has more wood in it? O The amount of wood in each napkin ring is the same regardless of the size of the sphere used. O The napkin ring created by drilling a hole with the larger radius has more wood in it. O The napkin ring created by drilling a hole with the smaller radius has more wood in it. (b) Use cylindrical shells to compute the volume V of a napkin ring of height 3h 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. V =
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 29A
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Transcribed Image Text: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 3h, as shown in the figure. (Let a = 3.)
ah
(a) Which ring has more wood in it?
O The amount of wood in each napkin ring is the same regardless of the size of the sphere used.
O The napkin ring created by drilling a hole with the larger radius has more wood in it.
O The napkin ring created by drilling a hole with the smaller radius has more wood in it.
(b) Use cylindrical shells to compute the volume V of a napkin ring of height 3h 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.
V =
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