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14.5 Surface Area 859
14.5 Surface Area
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Find the area of the portion of the surface that lies above the triangular
region with vertices , and .
a. 4
b. 36
c. 18
d. 162
e. 324
____ 2. Find the area of the surface given by over the region R.
R: square with vertices
a.
b.
c.
d.
e.
____ 3. Find the area of the surface given by over the region R.
R: square with vertices
a.
b.
c.
860 Chapter 14: Multiple Integration
d.
e.
____ 4. Find the area of the portion of the surface that lies above the region
.
a. 72
b. 36
c.
d.
e.
____ 5. Find the area of the surface given by over the region R.
R: rectangle with vertices
a.
b.
c.
d.
e.
14.5 Surface Area 861
____ 6. Find the area of the portion of the surface that lies above the
region . Round your answer to two decimal places.
a. 0.05
b. 2.18
c. 11.97
d. 1.22
e. 12.51
____ 7. Find the area of the portion of the surface that lies above the
region . Round your answer to two decimal places.
a. 9.29
b. 18.58
c. 69.20
d. 5.33
e. 0.65
____ 8. Find the area of the surface given by over the region R.
a.
b.
c.
d.
e.
862 Chapter 14: Multiple Integration
____ 9. Find the area of the portion of the surface that lies above
the region . Round your answer to two decimal places.
a. 144.00
b. 118.44
c. 904.78
d. 452.39
e. 1,421.22
____ 10. Find the area of the surface of the portion of the plane
in the first octant.
a.
b.
c.
d.
e.
____ 11. Find the area of the surface for the portion of the paraboloid in the
first
octant.
a.
b.
c.
14.5 Surface Area 863
d.
e.
____ 12. Find the area of the surface for the portion of the sphere inside the
cylinder .
a.
b.
c.
d.
e.
____ 13. Write a double integral that represents the surface area of over
the region R: triangle with vertices . Use a computer algebra system to evaluate
the double integral. Round your answer to two decimal places.
a.
b.
c.
d.
e.
____ 14. Write a double integral that represents the surface area of over
the region R: . Use a computer algebra system to evaluate the
double integral. Round your answer to four decimal places.
a.
b.
c.
d.
e.
864 Chapter 14: Multiple Integration
____ 15. Set up a double integral that gives the area of the surface of the graph of f over the
region R.
a.
b.
c.
d.
e.
____ 16. Set up a double integral that gives the area of the surface on the graph of
over the region .
a.
14.5 Surface Area 865
b.
c.
d.
e.
____ 17. Set up a double integral that gives the area of the surface of the graph of f over the
region R.
a.
b.
866 Chapter 14: Multiple Integration
c.
d.
e.
____ 18. A company produces a spherical object of radius 17 centimeters. A hole of radius 7
centimeters is drilled through the center of the object. Find the volume of the object.
a.
b.
c.
d.
e.
____ 19. A company produces a spherical object of radius 24 centimeters. A hole of radius 5
centimeters is drilled through the center of the object. Find the outer surface area of the object.
a. cm3
b. cm3
c. cm3
d. cm3
e. cm3
14.5 Surface Area 867
14.5 Surface Area
Answer Section
MULTIPLE CHOICE
