# Section 6.3 Volume: The Shell Method

Education

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All Questions

18

Multiple Choice

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True False

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Essay

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Short Answer

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Not Answered

Q 1

Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis.
A)
B)
C)
D)
E)

Free

Multiple Choice

D

Q 2

Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the y-axis. , ,
A)
B)
C)
D)
E)

Free

Multiple Choice

A

Q 3

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. ,
A)
B)
C)
D)
E)

Free

Multiple Choice

D

Q 4

Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region bounded by , , ,and about the y-axis.Round your answer to three decimal places.
A)3.052
B)0.13
C)1.017
D)0.225
E)0.674

Multiple Choice

Q 5

Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the x-axis. , ,
A)
B)
C)
D)
E)

Multiple Choice

Q 6

Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the x-axis. , ,
A)
B)
C)
D)
E)

Multiple Choice

Q 7

Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region about the x-axis. , ,
A)
B)
C)
D)
E)

Multiple Choice

Q 8

Use the shell method to set up and evaluate the integral that gives the volume of the solid generated by revolving the plane region bounded by , , about the x-axis.
A)
B)
C)
D)
E)

Multiple Choice

Q 9

Use the shell method to find the volume of the solid generated by revolving the plane region about the line . , ,
A)
B)
C)
D)
E)

Multiple Choice

Q 10

Use the shell method to find the volume of the solid generated by revolving the plane region bounded by , ,about the line .
A)
B)
C)
D)
E)

Multiple Choice

Q 11

Use the disk or shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line . , ,
A)
B)
C)
D)
E)

Multiple Choice

Q 12

Use the disk or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations , , about the x-axis.
A)
B)
C)
D)
E)

Multiple Choice

Q 13

Use the disk or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations , , about the line .
A)
B)
C)
D)
E)

Multiple Choice

Q 14

Use the disk or shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line . , , ,
A)
B)
C)
D)
E)

Multiple Choice

Q 15

Use the disk or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations , , , about the x-axis.Round your answer to two decimal places.
A)192.00
B)8.37
C)21.30
D)66.93
E)100.53

Multiple Choice

Q 16

Use the disk or shell method to find the volume of the solid generated by revolving the region in the first quadrant bounded by the graph of the equation about the given line.
(i)the x-axis; (ii)the y-axis
A)(i) ; (ii)
B)(i) ; (ii)
C)(i) ; (ii)
D)(i) ; (ii)
E)(i) ; (ii)

Multiple Choice

Q 17

A solid is generated by revolving the region bounded by and about the y-axis.A hole,centered along the axis of revolution,is drilled through this solid so that one-fourth of the volume is removed.Find the diameter of the hole.Round your answer to three decimal places.
A)12.522
B)13.028
C)5.124
D)2.739
E)10.249

Multiple Choice

Q 18

A solid is generated by revolving the region bounded by and about the y-axis.A hole,centered along the axis of revolution,is drilled through this solid so that one-third of the volume is removed.Find the diameter of the hole.Round your answer to three decimal places.
A)5.774
B)2.887
C)2.433
D)9.419
E)4.867

Multiple Choice