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Tutorial Exercise Set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the x-axis. Step 1 From the figure consider the representative rectangle. The radlus of the solid of revolution obtained by re volving the rectangle about the X-axis is R(x) = y = 9 - - , To find the volume of a solid of revolution with the disk disk method, use the horizontal axis of revolution. (R(X)1? dx. Volume = V =

Tutorial Exercise Set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the x-axis. Step 1 From the figure consider the representative rectangle. The radlus of the solid of revolution obtained by re volving the rectangle about the X-axis is R(x) = y = 9 - - , To find the volume of a solid of revolution with the disk disk method, use the horizontal axis of revolution. (R(X)1? dx. Volume = V =

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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Set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the x-axis
Tutorial Exercise Set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the x-axis. Step 1 From the figure consider the representative rectangle. The radlus of the solid of revolution obtained by re volving the rectangle about the X-axis is R(x) = y = 9 - , 2. To find the volume of a solid of revolution with the disk disk method, use the horizontal axis of revolution. (R(X)1? dx. Volume = V = 1
Transcribed Image Text:Tutorial Exercise Set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the x-axis. Step 1 From the figure consider the representative rectangle. The radlus of the solid of revolution obtained by re volving the rectangle about the X-axis is R(x) = y = 9 - , 2. To find the volume of a solid of revolution with the disk disk method, use the horizontal axis of revolution. (R(X)1? dx. Volume = V = 1
Step 2 So, the volume of the solid of revolution is Volume = V= (9 - x-)2 dx. To find the volume, integrate from x = | to x = 3. 18x² + 81) dx 243
Transcribed Image Text:Step 2 So, the volume of the solid of revolution is Volume = V= (9 - x-)2 dx. To find the volume, integrate from x = | to x = 3. 18x² + 81) dx 243
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