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Consider the solid of revolution obtained by rotating the region inside x2 + (y – 4)² = 9 about the x-axis. Sketch a diagram of the region, the solid of revolution, and a sample washer. This a) sample washer should be labeled with an expression for the inner and outer radius. Set up, but do not evaluate, an integral for the volume of this solid using the washer b) method. c) Evaluate the integral from part b) without using trigonometric substitution.

Consider the solid of revolution obtained by rotating the region inside x2 + (y – 4)² = 9 about the x-axis. Sketch a diagram of the region, the solid of revolution, and a sample washer. This a) sample washer should be labeled with an expression for the inner and outer radius. Set up, but do not evaluate, an integral for the volume of this solid using the washer b) method. c) Evaluate the integral from part b) without using trigonometric substitution.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter10: Measurement, Area, And Volume
Section10.8: Volumes Of Pyramids And Cones
Problem 13E
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Consider the solid of revolution obtained by rotating the region inside x² + (y – 4)2 = 9 about the х-ахis. a) sample washer should be labeled with an expression for the inner and outer radius. Sketch a diagram of the region, the solid of revolution, and a sample washer. This but do not evaluate, an integral for the volume of this solid using the washer b) method. Set up, Evaluate the integral from part b) without using trigonometric substitution.
Transcribed Image Text:Consider the solid of revolution obtained by rotating the region inside x² + (y – 4)2 = 9 about the х-ахis. a) sample washer should be labeled with an expression for the inner and outer radius. Sketch a diagram of the region, the solid of revolution, and a sample washer. This but do not evaluate, an integral for the volume of this solid using the washer b) method. Set up, Evaluate the integral from part b) without using trigonometric substitution.
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