Consider the region R bounded by the graph of f(x) = √√x² +9 on the interval [0,6]. a. Find the volume of the solid formed when R is revolved about the x-axis. b. Find the volume of the solid formed when R is revolved about the y-axis. a. Set up the integral that gives the volume of the solid. Use increasing limits of integration. Select the correct choice below and fill in the answer boxes to complete your choice. (Type exact answers.) OA. V= √( ) dy 6 B. V= √ (x(√x² +9) ²) Į 0 The volume of the solid formed when R is revolved about • (9 sin ¹2+18√ √5) the x-axis is (Type an exact answer.) dx 2

Consider the region R bounded by the graph of f(x) = √√x² +9 on the interval [0,6]. a. Find the volume of the solid formed when R is revolved about the x-axis. b. Find the volume of the solid formed when R is revolved about the y-axis. a. Set up the integral that gives the volume of the solid. Use increasing limits of integration. Select the correct choice below and fill in the answer boxes to complete your choice. (Type exact answers.) OA. V= √( ) dy 6 B. V= √ (x(√x² +9) ²) Į 0 The volume of the solid formed when R is revolved about • (9 sin ¹2+18√ √5) the x-axis is (Type an exact answer.) dx 2

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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