# Section 6.4 Arc Length and Surfaces of Revolution

Education

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All Questions

18

Multiple Choice

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Q 1

Find the arc length of the graph of the function over the interval .
A)
B)
C)
D)
E)

Free

Multiple Choice

B

Q 2

Find the arc length of the graph of the function over the interval .
A)
B)
C)
D)
E)

Free

Multiple Choice

A

Q 3

Find the arc length of the graph of the function over the interval .
A)
B)
C)
D)
E)

Free

Multiple Choice

C

Q 4

Find the arc length of the graph of the function over the interval .
A)
B)
C)
D)
E)

Multiple Choice

Q 5

Find the arc length of the graph of the function over the interval .
A)
B)
C)
D)
E)

Multiple Choice

Q 6

Find the arc length of the graph of the function over the interval .
A)
B)
C)
D)
E)

Multiple Choice

Q 7

Use the integration capabilities of a graphing utility to approximate the arc length of the graph of on the interval .Round your answer to three decimal places.
A)10.340
B)11.740
C)5.270
D)10.540
E)7.640

Multiple Choice

Q 8

Electrical wires suspended between two towers form a catenary modeled by the equation , ,where x and y are measured in meters.The towers are 50 meters apart.Find the length of the suspended cable.Round your answer to three decimal places.
A)94.421 m
B)50.000 m
C)64.077 m
D)40.048 m
E)47.211 m

Multiple Choice

Q 9

A barn is 100 feet long and 40 feet wide.A cross section of the roof is the inverted catenary .Find the number of square feet of roofing on the barn.Round your answer to the nearest integer.
A)4,681 square feet
B)4,701 square feet
C)2,351 square feet
D)2,000 square feet
E)4,000 square feet

Multiple Choice

Q 10

Find the arc length from clockwise to along the circle .Round your answer to four decimal places.
A)5.4264
B)0.1107
C)0.1137
D)4.3417
E)5.5692

Multiple Choice

Q 11

Find the area of the surface generated by revolving the curve about the x-axis. ,
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B)
C)
D)
E)

Multiple Choice

Q 12

Find the area of the surface generated by revolving the curve about the x-axis. ,
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B)
C)
D)
E)

Multiple Choice

Q 13

Set up and evaluate the definite integral for the area of the surface formed by revolving the graph of , about the x-axis.
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B)
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D)
E)

Multiple Choice

Q 14

Find the area of the surface generated by revolving the curve about the y-axis. ,
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B)
C)
D)
E)

Multiple Choice

Q 15

Set up and evaluate the definite integral for the area of the surface formed by revolving the graph of about the y-axis.Round your answer to three decimal places.
A)2.665
B)5.33
C)11.708
D)1.294
E)0.647

Multiple Choice

Q 16

Find the area of the surface generated by revolving the curve about the y-axis. ,
A)
B)
C)
D)
E)

Multiple Choice

Q 17

An ornamental light bulb is designed by revolving the graph of about the x-axis where x and y are measured in feet.Approximate the amount of glass needed to make the bulb.(Assume that the glass is 0.015 inches thick. )Round your answer to four decimal places.
A)0.09 in.

^{3}B)0.0006 in.^{3}C)1.0795 in.^{3}D)0.0075 in.^{3}E)5.9971 in.^{3} Multiple Choice

Q 18

A bridge has a main span of about 1,200 meters.Each of its towers has a height of about 150 meters.Approximate the length of a parabolic cable along the main span if the length C of the cable is given by .Round your answer to one decimal place.
A)624.1 meters
B)671.8 meters
C)1,825.7 meters
D)1,248.3 meters
E)2,496.5 meters

Multiple Choice