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Exam 7: Section 2: Applications of Integration

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A tank on the wing of a jet aircraft is formed by revolving the region bounded by the graph of 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. and the x-axis 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. 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.

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(Multiple Choice)
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Question 1
Correct Answer:
Verified

C

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations 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. , and 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. about the 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. -axis. Round your answer to four decimal places.

Free
(Multiple Choice)
4.7/5
(34)
Question 2
Correct Answer:
Verified

E

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the -axis. -axis. Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the -axis.

Free
(Multiple Choice)
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(38)
Question 3
Correct Answer:
Verified

D

Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by 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. and 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. in the first quadrant about the 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. -axis.

(Multiple Choice)
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Question 4

If the portion of the line If the portion of the line lying in the first quadrant is revolved about the -axis, a cone is generated. Find the volume of the cone extending from . Round your answer to two decimal places. lying in the first quadrant is revolved about the If the portion of the line lying in the first quadrant is revolved about the -axis, a cone is generated. Find the volume of the cone extending from . Round your answer to two decimal places. -axis, a cone is generated. Find the volume of the cone extending from If the portion of the line lying in the first quadrant is revolved about the -axis, a cone is generated. Find the volume of the cone extending from . Round your answer to two decimal places. . Round your answer to two decimal places.

(Multiple Choice)
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Question 5

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line . . Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line .

(Multiple Choice)
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Question 6

Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by and about the -axis. and Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by and about the -axis. about the Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by and about the -axis. -axis.

(Multiple Choice)
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Question 7

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines. Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines. Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines.

(Multiple Choice)
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Question 8

The base of a solid is bounded by The base of a solid is bounded by and . Find the volume of the solid if its cross-sections are squares (taken perpendicular to the -axis). Round your answer to two decimal places. and The base of a solid is bounded by and . Find the volume of the solid if its cross-sections are squares (taken perpendicular to the -axis). Round your answer to two decimal places. . Find the volume of the solid if its cross-sections are squares (taken perpendicular to the The base of a solid is bounded by and . Find the volume of the solid if its cross-sections are squares (taken perpendicular to the -axis). Round your answer to two decimal places. -axis). Round your answer to two decimal places.

(Multiple Choice)
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Question 9

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the -axis. Verify your results using the integration capabilities of a graphing utility. -axis. Verify your results using the integration capabilities of a graphing utility. Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the -axis. Verify your results using the integration capabilities of a graphing utility.

(Multiple Choice)
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Question 10

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.

(Multiple Choice)
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Question 11

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations Find the volume of the solid generated by revolving the region bounded by the graphs of the equations , and about the line . , and Find the volume of the solid generated by revolving the region bounded by the graphs of the equations , and about the line . about the line Find the volume of the solid generated by revolving the region bounded by the graphs of the equations , and about the line . .

(Multiple Choice)
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Question 12

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line . . Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line .

(Multiple Choice)
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Question 13

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines. Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines. Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines.

(Multiple Choice)
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Question 14

Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by , and about the -axis. , and Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by , and about the -axis. about the Set up and evaluate the integral that gives the volume of the solid formed by revolving the region bounded by , and about the -axis. -axis.

(Multiple Choice)
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(35)
Question 15

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line . . Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line .

(Multiple Choice)
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Question 16

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the -axis. -axis. Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the -axis.

(Multiple Choice)
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Question 17

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations Find the volume of the solid generated by revolving the region bounded by the graphs of the equations , and about the line . , and Find the volume of the solid generated by revolving the region bounded by the graphs of the equations , and about the line . about the line Find the volume of the solid generated by revolving the region bounded by the graphs of the equations , and about the line . .

(Multiple Choice)
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Question 18
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