Question: Use the Shell method to set up and evaluate an integral that gives the volume of the solid generated by revolving the plane region about

 Use the Shell method to set up and evaluate an integralthat gives the volume of the solid generated by revolving the planeregion about the y-axis. y= 81-x, y=0 (a) v =4x x(81-x )dx= 65617 Ob) v = 2x x(81-x7 ) dix = 6561 -F 2 O cv=2x x(81-x ) dx = 6561 - FE 2

Use the Shell method to set up and evaluate an integral that gives the volume of the solid generated by revolving the plane region about the y-axis. y= 81-x, y=0 (a) v =4x x(81-x )dx = 65617 Ob) v = 2x x(81-x7 ) dix = 6561 - F 2 O cv=2x x(81-x ) dx = 6561 - FE 2 O d) v = 4x x(81-x )dx= 65617 Oev=2x x(81-x' )dx= 65617

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