Chapter 12 and volumes Test Review
Name:
Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.
1.
,
,
, MN = 10 feet
R
P
x
A
O
N
M
Find the volume of the cylinder in terms of .
2.
12 m
2.5 m
Not drawn to scale
Find the volume of the square pyramid shown. Round to the nearest tenth as necessary.
3.
15 cm
17 cm
17 cm
Not drawn to scale
Find the volume of the given prism. Round to the nearest tenth if necessary.
4.
5. Find the center and radius of the circle with equation (x + 9) + (y + 5) = 64.
6. Find x. (The figure is not drawn to scale.)
A
x
O
C
B
67
7. Find the measure of BAC. (The figure is not drawn to scale.)
A
O

C
B
8. If m(arc BY) = 29, what is m YAC? (The figure is not drawn to scale.)
B
Y
O
A
9.
and
C
are diameters. Find the measure of arc ZWX. (The figure is not drawn to scale.)
Y
Z
95
X
46
C
R
W
Find the volumeof the sphere with the given dimension. Leave your answer in terms of .
10. radius of 30 m
11. diameter of 16 cm
Find the volume of the cone shown as a decimal rounded to the nearest tenth.
12.
22 in.
18 in.
Not drawn to scale
13. m R = 26. Find m O. (The figure is not drawn to scale.)
N
O
Q
R
14. Given: m X = 150,
, m Y = 92. Find each measurement. (The figure is not drawn to scale.)
Y
X
Z
W
a.
b.
c.
m Z
m(arc WZY)
m W
Write the standard equation for the circle.
15. center (4, –7), r = 3
Chapter 12 and volumes Test Review
Answer Section
SHORT ANSWER
1. ANS:
5 ft
PTS: 1
DIF: L2
REF: 12-2 Chords and Arcs
OBJ: 12-2.1 Using Congruent Chords, Arcs, and Central Angles
NAT: NAEP 2005 G3e | ADP K.4
STA: MI G1.6.2
TOP: 12-2 Example 2
KEY: circle | radius | chord | congruent chords | bisected chords
2. ANS:
75 m
PTS: 1
DIF: L2
REF: 11-4 Volumes of Prisms and Cylinders
OBJ: 11-4.2 Finding Volume of a Cylinder
NAT: NAEP 2005 M1j | ADP I.4.1 | ADP J.1.6 | ADP K.8.2
STA: MI G1.8.1
TOP: 11-4 Example 3
KEY: volume of a cylinder | cylinder | volume formulas | volume
3. ANS:
1445 cm
PTS:
OBJ:
NAT:
TOP:
KEY:
4. ANS:
17 m
1
DIF: L2
REF: 11-5 Volumes of Pyramids and Cones
11-5.1 Finding Volume of a Pyramid
NAEP 2005 M1j | ADP I.4.1 | ADP J.1.6 | ADP K.8.2
STA: MI G1.8.1| MI G2.1.3| MI G2.3.5
11-5 Example 1
volume of a pyramid | pyramid | volume formulas | volume
PTS: 1
DIF: L3
REF: 11-4 Volumes of Prisms and Cylinders
OBJ: 11-4.1 Finding Volume of a Prism NAT: NAEP 2005 M1j | ADP I.4.1 | ADP J.1.6 | ADP K.8.2
STA: MI G1.8.1
TOP: 11-4 Example 2
KEY: volume of a triangular prism | volume formulas | volume | prism
5. ANS:
center (–9, –5); r = 8
PTS: 1
DIF: L2
REF: 12-5 Circles in the Coordinate Plane
OBJ: 12-5.2 Finding the Center and Radius of a Circle
NAT: NAEP 2005 G4d | ADP K.10.4
TOP: 12-5 Example 3
KEY: center | circle | coordinate plane | radius
6. ANS:
33.5
PTS:
OBJ:
STA:
KEY:
1
DIF: L2
REF: 12-3 Inscribed Angles
12-3.1 Finding the Measure of an Inscribed Angle
NAT: NAEP 2005 G3e | ADP K.4
MI G1.6.3
TOP: 12-3 Example 1
circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
7. ANS:
27
PTS:
OBJ:
STA:
KEY:
8. ANS:
75.5
1
DIF: L3
REF: 12-3 Inscribed Angles
12-3.1 Finding the Measure of an Inscribed Angle
NAT: NAEP 2005 G3e | ADP K.4
MI G1.6.3
TOP: 12-3 Example 2
circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
PTS:
OBJ:
STA:
KEY:
9. ANS:
226
1
DIF: L2
REF: 12-3 Inscribed Angles
12-3.2 The Angle Formed by a Tangent and a Chord
NAT: NAEP 2005 G3e | ADP K.4
MI G1.6.3
TOP: 12-3 Example 3
circle | inscribed angle | tangent-chord angle | intercepted arc | arc measure | angle measure
PTS:
OBJ:
NAT:
KEY:
10. ANS:
3,600
1
DIF: L2
REF: 12-2 Chords and Arcs
12-2.1 Using Congruent Chords, Arcs, and Central Angles
NAEP 2005 G3e | ADP K.4
STA: MI G1.6.2
TOP: 12-2 Example 1
arc | central angle | congruent arcs | arc measure | arc addition | diameter
m
PTS: 1
DIF: L2
REF: 11-6 Surface Areas and Volumes of Spheres
OBJ: 11-6.1 Finding Surface Area and Volume of a Sphere
NAT: NAEP 2005 M1j | ADP I.4.1 | ADP J.1.6 | ADP K.8.2
STA: MI G1.8.1
TOP: 11-6 Example 1
KEY: surface area of a sphere | surface area formulas | surface area | sphere
11. ANS:
256 cm
PTS: 1
DIF: L2
REF: 11-6 Surface Areas and Volumes of Spheres
OBJ: 11-6.1 Finding Surface Area and Volume of a Sphere
NAT: NAEP 2005 M1j | ADP I.4.1 | ADP J.1.6 | ADP K.8.2
STA: MI G1.8.1
TOP: 11-6 Example 1
KEY: surface area of a sphere | surface area formulas | surface area | sphere
12. ANS:
1866.1 in.
PTS:
OBJ:
STA:
KEY:
13. ANS:
52
1
DIF: L2
REF: 11-5 Volumes of Pyramids and Cones
11-5.2 Finding Volume of a Cone NAT: NAEP 2005 M1j | ADP I.4.1 | ADP J.1.6 | ADP K.8.2
MI G1.8.1| MI G2.1.3| MI G2.3.5 TOP: 11-5 Example 3
volume of a cone | oblique cone | volume formulas | volume
PTS: 1
DIF: L2
REF: 12-3 Inscribed Angles
OBJ: 12-3.1 Finding the Measure of an Inscribed Angle
NAT: NAEP 2005 G3e | ADP K.4
STA: MI G1.6.3
TOP: 12-3 Example 2
KEY: circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
14. ANS:
30
a.
150
b.
88
c.
34
d.
PTS: 1
DIF: L3
REF: 12-3 Inscribed Angles
OBJ: 12-3.1 Finding the Measure of an Inscribed Angle
NAT: NAEP 2005 G3e | ADP K.4
STA: MI G1.6.3
TOP: 12-3 Example 1
KEY: chord | inscribed angle-arc relationship | circle
15. ANS:
(x – 4) + (y + 7) = 9
PTS: 1
DIF: L2
REF: 12-5 Circles in the Coordinate Plane
OBJ: 12-5.1 Writing an Equation of a Circle
NAT: NAEP 2005 G4d | ADP K.10.4
TOP: 12-5 Example 1
KEY: equation of a circle | center | radius