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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)
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 9P: A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can,...
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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
Transcribed Image Text: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
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