Chapter 12 and volumes Test ReviewName:
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
Find the volume of the cylinder in terms of .
2.
Find the volume of the square pyramid shown. Round to the nearest tenth as necessary.
3.
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.)
7.Find the measure of BAC. (The figure is not drawn to scale.)
8.If m(arc BY) = 29, what is mYAC? (The figure is not drawn to scale.)
9. and are diameters. Find the measure of arc ZWX. (The figure is not drawn to scale.)
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.
13.mR = 26. Find mO. (The figure is not drawn to scale.)
14.Given: mX = 150, , mY = 92. Find each measurement. (The figure is not drawn to scale.)
a. / mZb. / m(arc WZY)
c. / mW
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:1DIF:L2REF:12-2 Chords and Arcs
OBJ:12-2.1 Using Congruent Chords, Arcs, and Central Angles
NAT:NAEP 2005 G3e | ADP K.4STA:MI G1.6.2TOP:12-2 Example 2
KEY:circle | radius | chord | congruent chords | bisected chords
2.ANS:
75 m
PTS:1DIF:L2REF: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.8.2STA:MI G1.8.1
TOP:11-4 Example 3KEY:volume of a cylinder | cylinder | volume formulas | volume
3.ANS:
1445 cm
PTS:1DIF:L2REF:11-5 Volumes of Pyramids and Cones
OBJ:11-5.1 Finding Volume of a Pyramid
NAT:NAEP 2005 M1j | ADP I.4.1 | ADP J.1.6 | ADP K.8.2STA:MI G1.8.1| MI G2.1.3| MI G2.3.5
TOP:11-5 Example 1
KEY:volume of a pyramid | pyramid | volume formulas | volume
4.ANS:
17 m
PTS:1DIF:L3REF:11-4 Volumes of Prisms and Cylinders
OBJ:11-4.1 Finding Volume of a PrismNAT:NAEP 2005 M1j | ADP I.4.1 | ADP J.1.6 | ADP K.8.2
STA:MI G1.8.1TOP:11-4 Example 2
KEY:volume of a triangular prism | volume formulas | volume | prism
5.ANS:
center (–9, –5); r = 8
PTS:1DIF:L2REF:12-5 Circles in the Coordinate Plane
OBJ:12-5.2 Finding the Center and Radius of a CircleNAT:NAEP 2005 G4d | ADP K.10.4
TOP:12-5 Example 3KEY:center | circle | coordinate plane | radius
6.ANS:
33.5
PTS:1DIF:L2REF:12-3 Inscribed Angles
OBJ:12-3.1 Finding the Measure of an Inscribed AngleNAT:NAEP 2005 G3e | ADP K.4
STA:MI G1.6.3TOP:12-3 Example 1
KEY:circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
7.ANS:
27
PTS:1DIF:L3REF:12-3 Inscribed Angles
OBJ:12-3.1 Finding the Measure of an Inscribed AngleNAT:NAEP 2005 G3e | ADP K.4
STA:MI G1.6.3TOP:12-3 Example 2
KEY:circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
8.ANS:
75.5
PTS:1DIF:L2REF:12-3 Inscribed Angles
OBJ:12-3.2 The Angle Formed by a Tangent and a ChordNAT:NAEP 2005 G3e | ADP K.4
STA:MI G1.6.3TOP:12-3 Example 3
KEY:circle | inscribed angle | tangent-chord angle | intercepted arc | arc measure | angle measure
9.ANS:
226
PTS:1DIF:L2REF:12-2 Chords and Arcs
OBJ:12-2.1 Using Congruent Chords, Arcs, and Central Angles
NAT:NAEP 2005 G3e | ADP K.4STA:MI G1.6.2TOP:12-2 Example 1
KEY:arc | central angle | congruent arcs | arc measure | arc addition | diameter
10.ANS:
3,600 m
PTS:1DIF:L2REF: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.8.2STA: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:1DIF:L2REF: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.8.2STA: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:1DIF:L2REF:11-5 Volumes of Pyramids and Cones
OBJ:11-5.2 Finding Volume of a ConeNAT: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 G2.3.5TOP:11-5 Example 3
KEY:volume of a cone | oblique cone | volume formulas | volume
13.ANS:
52
PTS:1DIF:L2REF:12-3 Inscribed Angles
OBJ:12-3.1 Finding the Measure of an Inscribed AngleNAT:NAEP 2005 G3e | ADP K.4
STA:MI G1.6.3TOP:12-3 Example 2
KEY:circle | inscribed angle | intercepted arc | inscribed angle-arc relationship
14.ANS:
a. / 30b. / 150
c. / 88
d. / 34
PTS:1DIF:L3REF:12-3 Inscribed Angles
OBJ:12-3.1 Finding the Measure of an Inscribed AngleNAT:NAEP 2005 G3e | ADP K.4
STA:MI G1.6.3TOP:12-3 Example 1
KEY:chord | inscribed angle-arc relationship | circle
15.ANS:
(x – 4) + (y + 7) = 9
PTS:1DIF:L2REF:12-5 Circles in the Coordinate Plane
OBJ:12-5.1 Writing an Equation of a CircleNAT:NAEP 2005 G4d | ADP K.10.4
TOP:12-5 Example 1KEY:equation of a circle | center | radius