1. Surface Areas and Volumes of Spheres
GEOMETRY LESSON 10-7
cm2
in.2
ft3; 524 ft3
cm3; 905 cm3
in.3;
1767 in.3
cm3;
2145 cm3
yd3;
7238 yd3
m3;
310 m3
in.2 m2
cm2
21. S.A. ≈ 108 cm2;
V ≈ 108 cm3 m2
in.2
mm2
4. 40, yd2
mm2
cm2
in.2
8. 62 cm2
in.2
Pages Exercises
121 16
500 3
1125 2
2048
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2. Surface Areas and Volumes of Spheres
GEOMETRY LESSON 10-7
25. Answers may vary.
sample: (5, 0, 0),
(0, 5, 0), (0, 0, 5),
(–5, 0, 0), (0, –5, 0),
(0, 0, –5)
26. A: on; B: inside;
C: outside lb
28. 8 in. sphere; the volume of the three spheres is and of the large
sphere is m3
in.3
ft3
mm3
yd3
cm3 m3
mi3
37. a in.3
22. a. a sphere of radius 4
b units3
c units2
23. Yes; the volume of the frozen yogurt is
cm3, and the
volume of the cone is cm3.
24. a. 3 in.
b in.3
256 3 1 4 9 2
500
125 6
343
1125
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3. Surface Areas and Volumes of Spheres
GEOMETRY LESSON 10-7
44. a in.; in.
b in.3
45. r ≈ 7.1 cm,
h ≈ 14.1 cm
46. r ≈ 8.2 cm,
h ≈ 11.4 cm
cm2
48. a. Cube;
39. (continued)
height 4 in.
cm2; cm3
cm2; cm3
cm2; cm3
43. Answers may vary. Sample: You could lift the small ball because it weighs about 75 lb. The big ball would be much harder to lift since it weighs about 253 lb.
37. (continued)
b in.3
c. 11 in.
38. a. about 8.9 in.2
b. The answer is less than the actual surface area since the dimples on the golf ball add to the surface area.
39. Answers may vary. Sample:
sphere radius 3 in.; cylinder radius 3 in., 2 3 46 62 14
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4. Surface Areas and Volumes of Spheres
GEOMETRY LESSON 10-7
53. H
54. D
55. H
56. C
57. I
58. C
59. [2] a. S.A = 4 r2
36 = 4 r2
9 = r2
r = 3 ft 4 3
48. a. (continued)
Explanations
may vary. Sample:
If s3 = r3, then s = r.
So 6s2 = r 2 ≈
15.6r2 > 4 r2.
b. Answers may vary. Sample: Spheres are difficult to stack.
49. 3 m m
51. 2 : 3
52. B
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5. Surface Areas and Volumes of Spheres
GEOMETRY LESSON 10-7 4 3
, 109, 71, 71 cm cm
cm2
59. [2] (continued)
b. V = r3
V =
V = ft3
[1] one computation error m3
in.3
62. 19,396 mm3
63. 35, 55
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