Consider the region bounded by the curves and 6x+10y y = 11/1 17 = 0. If this region is revolved around the line y = 4, the volume of the resulting solid can be computed in (at least) two different ways using integrals. (Sketching the graph of the situation might help you answer the following.) First of all it can be computed with respect to the x- axis using vertical slicing. B [² f(x) dx where a = ,ẞ = and f(x) = This method is commonly called the method of (Enter 'DW' for Disks/Washers or 'CS' for Cylindrical Shells). Alternatively, this volume can be computed with respect to the y-axis using horizontal slicing. g(y) dy where a = ,b= and g(y) = This method is commonly called the method of (Enter 'DW' for Disks/Washers or 'CS' for Cylindrical Shells). Either way, we find that the volume of the solid of revolution is cubic units.

Consider the region bounded by the curves and 6x+10y y = 11/1 17 = 0. If this region is revolved around the line y = 4, the volume of the resulting solid can be computed in (at least) two different ways using integrals. (Sketching the graph of the situation might help you answer the following.) First of all it can be computed with respect to the x- axis using vertical slicing. B [² f(x) dx where a = ,ẞ = and f(x) = This method is commonly called the method of (Enter 'DW' for Disks/Washers or 'CS' for Cylindrical Shells). Alternatively, this volume can be computed with respect to the y-axis using horizontal slicing. g(y) dy where a = ,b= and g(y) = This method is commonly called the method of (Enter 'DW' for Disks/Washers or 'CS' for Cylindrical Shells). Either way, we find that the volume of the solid of revolution is cubic units.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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