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1. The volume of a cone with radius r and height h is Tr²h 3 Find a region in the first quadrant that, when rotated around one of the axes, produces a cone. Then set up two different integrals that gives the volume of this solid, one with the disc method (washers) and one with the method of cylindrical shells (tubes). Explain your reasoning. You can include diagrams to support your reasoning.

1. The volume of a cone with radius r and height h is Tr²h 3 Find a region in the first quadrant that, when rotated around one of the axes, produces a cone. Then set up two different integrals that gives the volume of this solid, one with the disc method (washers) and one with the method of cylindrical shells (tubes). Explain your reasoning. You can include diagrams to support your reasoning.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter65: Achievement Review—section Six
Section: Chapter Questions
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1. The volume of a cone with radius r and height h is Tr²h 3 Find a region in the first quadrant that, when rotated around one of the axes, produces a cone. Then set up two different integrals that gives the volume of this solid, one with the disc method (washers) and one with the method of cylindrical shells (tubes). Explain your reasoning. You can include diagrams to support your reasoning.
Transcribed Image Text:1. The volume of a cone with radius r and height h is Tr²h 3 Find a region in the first quadrant that, when rotated around one of the axes, produces a cone. Then set up two different integrals that gives the volume of this solid, one with the disc method (washers) and one with the method of cylindrical shells (tubes). Explain your reasoning. You can include diagrams to support your reasoning.
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