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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. y = 25 - x2 25 20 15 y 10-

Set up and evaluate the integral that gives the volume of the solid formed by revolving the region about the x-axis. y = 25 - x2 25 20 15 y 10-

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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. y = 25 - x2 25 20- 15- y 10 5- 3 Step 1 From the figure consider the representative rectangle. The radius of the solid of revolution obtained by revolving the rectangle about the x-axis is R(x) = y = 25 - To find the volume of a solid of revolution with the -Select-v method, use the horizontal axis of revolution. Volume = V = T [R(x)1? dx. 25 20 15 10 Submit Skip (you cannot come back)
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. y = 25 - x2 25 20- 15- y 10 5- 3 Step 1 From the figure consider the representative rectangle. The radius of the solid of revolution obtained by revolving the rectangle about the x-axis is R(x) = y = 25 - To find the volume of a solid of revolution with the -Select-v method, use the horizontal axis of revolution. Volume = V = T [R(x)1? dx. 25 20 15 10 Submit Skip (you cannot come back)
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