You want to find the volume of the solid obtained by rotating about the x-axis the region under the curve y = x/5 from 0 to 6. You first slice through the rotated solid at a generic point x and get a circular cross-section. What is the area of the circular cross-section? A(x) This makes the volume of the approximating disk with thickness Ax equal to which expression? Volume of disk Ax Now let Ax approach 0, and sum the volumes of the infinitely many disks that approximate the solid of revolution. What total volume do you get? V A(x)dæ ||

You want to find the volume of the solid obtained by rotating about the x-axis the region under the curve y = x/5 from 0 to 6. You first slice through the rotated solid at a generic point x and get a circular cross-section. What is the area of the circular cross-section? A(x) This makes the volume of the approximating disk with thickness Ax equal to which expression? Volume of disk Ax Now let Ax approach 0, and sum the volumes of the infinitely many disks that approximate the solid of revolution. What total volume do you get? V A(x)dæ ||

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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