# Section 6.2 Volume: The Disk and Washer Methods

Education

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All Questions

17

Multiple Choice

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Essay

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Short Answer

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Q 1

Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by and about the x-axis.
A)
B)
C)
D)
E)

Free

Multiple Choice

D

Q 2

Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by and in the first quadrant about the y-axis.
A)
B)
C)
D)
E)

Free

Multiple Choice

E

Q 3

Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by , ,and about the y-axis.
A)
B)
C)
D)
E)

Free

Multiple Choice

A

Q 4

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations , ,and about the line .
A)
B)
C)
D)
E)

Multiple Choice

Q 5

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations , and about the line .
A) π
B) π
C)
D)
E) π

Multiple Choice

Q 6

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines. , (i)x-axis; (ii)the line
A) ;
B) ;
C) ;
D) ;
E) ;

Multiple Choice

Q 7

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines. , (i)y-axis; (ii)the line
A) ;
B) ;
C) ;
D) ;
E) ;

Multiple Choice

Q 8

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines. , (i)x-axis; (ii)the line
A)(i) ; (ii)
B)(i) ; (ii)
C)(i) ; (ii)
D)(i) ; (ii)
E)(i) ; (ii)

Multiple Choice

Q 9

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 10

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 11

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

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

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 14

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis.Verify your results using the integration capabilities of a graphing utility. , , ,
A)
B)
C)
D)
E)

Multiple Choice

Q 15

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations , , ,and about the x-axis.Round your answer to four decimal places.
A)3.6882
B)10.7186
C)20.6134
D)14.3360
E)37.8922

Multiple Choice

Q 16

A tank on the wing of a jet aircraft is formed by revolving the region bounded by the graph of and the x-axis about the x-axis,where x and y are measured in meters.Find the volume of the tank.Round your answer to two decimal places.
A)0.37 m

^{3}B)0.45 m^{3}C)0.18 m^{3}D)0.68 m^{3}E)0.34 m^{3} Multiple Choice

Q 17

A tank on a water tower is a sphere of radius 50 feet.Determine the depth of the water when the tank is filled to one-fourth of its total capacity.(Note: Use the zero or root feature of a graphing utility after evaluating the definite integral. )Round your answer to two decimal places.
A)34.72 feet
B)12.99 feet
C)33.18 feet
D)32.64 feet
E)28.26 feet

Multiple Choice