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Answer: Volumes of solids Find the volume of the following

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 47E Chapter 7.4

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 47E

Volumes of solids

Find the volume of the following solids.

The region bounded by y = 1/(x + 2), y = 0, x = 0, and x = 3 is revolved about the line x = −1.

Step-by-Step Solution:

Problem 47E

Volumes of solids Find the volume of the following solids.

The region bounded by , y = 0, x = 0, and x = 3 is revolved about the line .

Solution

Step 1

In this problem we have to find the volume of the solid bounded by the region  , y = 0, x = 0, and x = 3 is revolved about the line .

We shall use shell method to find the volume.

Shell method : If R is the region under the curve y = f(x) on the interval [a, b], then the volume of the solid obtained by revolving R about the y-axis is

        

Step 2 of 3

Chapter 7.4, Problem 47E is Solved
Step 3 of 3

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Answer: Volumes of solids Find the volume of the following