Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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1.
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Set up and evaluate the integral that gives the volume of the solid formed by
revolving the region bounded by  and  about the
 -axis.
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2.
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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  -axis.
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3.
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Set up and evaluate the integral that gives the volume of the solid formed by
revolving the region bounded by  , and  about the
 -axis.
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4.
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Find the volume of the solid generated by revolving the region bounded by the
graphs of the equations  , and  about the
line  .
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5.
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Find the volume of the solid generated by revolving the region bounded by the
graphs of the equations  , and  about the
line  .
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6.
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Find the volume of the solid generated by revolving the region bounded by the
graphs of the equations about the given lines.  
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7.
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Find the volume of the solid generated by revolving the region bounded by the
graphs of the equations about the given lines.  
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8.
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Find the volume of the solid generated by revolving the region bounded by the
graphs of the equations about the line  . 
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9.
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Find the volume of the solid generated by revolving the region bounded by the
graphs of the equations about the line  . 
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10.
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Find the volume of the solid generated by revolving the region bounded by the
graphs of the equations about the line  . 
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11.
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Find the volume of the solid generated by revolving the region bounded by the
graphs of the equations about the  -axis. 
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12.
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Find the volume of the solid generated by revolving the region bounded by the
graphs of the equations  , and  about the
 -axis. Round your answer to four decimal
places. a. | 5.3098 | b. | 12.2824 | c. | 20.6444 | d. | 15.9387 | e. | 37.9232 |
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13.
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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. | 0.45 m3 | b. | 0.33 m3 | c. | 0.03
m3 | d. | 1.79
m3 | e. | 0.12
m3 |
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14.
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A tank on a water tower is a sphere of radius 65 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. | 20.66 feet | b. | 54.63 feet | c. | 34.67
feet | d. | 42.43 feet | e. | 10.36 feet |
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