Larson_Calculus_10e ch07sec03
MULTIPLE CHOICE
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.
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.
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.
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 about the y-axis.
Round your answer to three decimal places.
a.
5.987
b.
0.561
c.
2.047
d.
0.972
e.
2.917
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
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.
674.33
b.
17.75
c.
96.05
d.
301.76
e.
453.96
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.
b.
c.
d.
e.
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.
10.733
b.
11.167
c.
4.392
d.
2.536
e.
8.785
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.
11.547
b.
5.774
c.
4.867
d.
18.838
e.
9.734