4. Consider the triangle in the plane defined by the vertices (0, 0), ( 2,3) and (1, 0). For each of the below problems, provide an integral or sum of integrals which provides the volume of the solid of revolution formed by revolving the region about the indicated axis while using the method mentioned in the problem. Do not do the integrals. a. About the line y = 2, use method of washers/disks. b. About the line y = 2, use the method of shells.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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4. Consider the triangle in the plane defined by the vertices (0, 0) , ( 2 , 3) and (1, 0). For each of the
below problems, provide an integral or sum of integrals which provides the volume of the solid of
revolution formed by revolving the region about the indicated axis while using the method
mentioned in the problem. Do not do the integrals.
a. About the line y = 2, use method of washers/disks.
b. About the line y = 2, use the method of shells.
Transcribed Image Text:4. Consider the triangle in the plane defined by the vertices (0, 0) , ( 2 , 3) and (1, 0). For each of the below problems, provide an integral or sum of integrals which provides the volume of the solid of revolution formed by revolving the region about the indicated axis while using the method mentioned in the problem. Do not do the integrals. a. About the line y = 2, use method of washers/disks. b. About the line y = 2, use the method of shells.
Expert Solution
Step 1

Given :

The triangle in the plane defined by the vertices (0, 0), (2, 3), and (1, 0).

We have to find :

The volume of the solid of revolution formed by revolving the region ( given triangle )

about the :

(a) the line y=2 , Use method of washers/disk.

(b) the line y=2, Use the method of shells.

 

 

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