Worksheet 4A Build-up Exercise 4Aslau.weebly.com/uploads/1/3/3/0/13308739/supp_3e04_sol.pdf ·...
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© 2010 Chung Tai Educational Press. All rights reserved. 4.23 Worksheet 4A (page 4.1) 1. (a) 3 cm 160 (b) 3 cm 10 2. 2 cm 132 3. Height Base area Volume (a) 4 cm 2 cm 4 3 cm 3 16 (b) 5 cm 2 cm 12 3 cm 20 (c) 6 cm 2 cm 5 . 4 3 cm 9 (d) 8 cm 2 cm 30 3 cm 80 (e) 12 cm 2 cm 32 3 cm 128 Worksheet 4B (page 4.3) 1. 3 cm 96π 2. 2 cm 20π 3. (a) 9 cm (b) 12 cm 4. (a) 12 cm (b) 13 cm 5. (a) 4π cm (b) 2 cm (c) 7.75 cm (d) 3 cm 4 . 32 Worksheet 4C (page 4.7) 1. Radius (cm) Volume (cm 3 ) Surface area (cm 2 ) (a) 6 288π 144π (b) 9 972π 324π (c) 3 36π 36π (d) 2 π 3 32 16π 2. 3 cm 3. 2 cm 64π Worksheet 4D (page 4.9) 1. 2 1 : 2 1 : A A 2 1 : V V (a) 2 : 1 4 : 1 8 : 1 (b) 5 : 2 25 : 4 125 : 8 (c) 2 : 3 4 : 9 8 : 27 (d) 10 : 7 100 :49 1 000 : 343 2 (a) 12.5% (b) 21.6% Build-up Exercise 4A (page 4.11) 1. 3 cm 160 2. 3 cm 6 abh 3. 3 cm 000 8 4. (a) 2 cm 165 (b) 3 cm 100 1 5. 5 6. 5 cm 7. 2 cm 156 8. (a) 7.18 cm (b) 3 cm 8 . 59 9. 16.3 cm 10. (a) 2 cm 618 (b) 2 cm 670 1 11. (a) 27.0 cm (b) 3 cm 160 2 (c) 2 cm 200 1 12. (a) 50 cm (b) 9.6 cm (c) 3 cm 732 13. (a) 2 cm 440 2 (b) 2 cm 440 6 14. 9.09% 15. (a) cm 20 = VA , height cm 1 . 14 = (b) 3 cm 480 1 (c) 17.3 cm (d) 2 cm 987 Build-up Exercise 4B (page 4.13) 16. (a) 3 cm 48π (b) 3 cm 480π (c) 3 cm 000 2 π 17. (a) 2 cm 120π (b) 2 cm 240π (c) 2 m 69 . 3 π 18. (a) Volume 3 cm 768π = , total surface area 2 cm 384π = (b) Volume 3 cm 320π = , total surface area 2 cm 200π = (c) Volume 3 cm 392π = , total surface area 2 cm 224π = 19. (a) 10.7 cm (b) 2 cm 144 20. (a) 3 cm 729π (b) 2 cm 640 1 21. (a) 2 cm 225π (b) $35.3 22. (a) 10 cm (b) 2 cm 020 1 23. 4.46 cm 24. (a) 3 cm 31 . 4 (b) 77 25. (a) 9.49 cm (b) 8.37 cm (c) 3 cm 789
Transcript of Worksheet 4A Build-up Exercise 4Aslau.weebly.com/uploads/1/3/3/0/13308739/supp_3e04_sol.pdf ·...
© 2010 Chung Tai Educational Press. All rights reserved.
4.23
Worksheet 4A (page 4.1) 1. (a) 3cm 160 (b) 3cm 10
2. 2cm 132
3. Height Base area Volume
(a) 4 cm 2cm 4 3cm 3
16
(b) 5 cm 2cm 12 3cm 20
(c) 6 cm 2cm 5.4 3cm 9
(d) 8 cm 2cm 30 3cm 80
(e) 12 cm 2cm 32 3cm 128
Worksheet 4B (page 4.3) 1. 3cm 96 π
2. 2cm 20 π
3. (a) 9 cm (b) 12 cm
4. (a) 12 cm (b) 13 cm
5. (a) 4π cm (b) 2 cm (c) 7.75 cm (d) 3cm 4.32
Worksheet 4C (page 4.7) 1. Radius (cm) Volume (cm3) Surface area (cm2)
(a) 6 288π 144π
(b) 9 972π 324π
(c) 3 36π 36π
(d) 2 π332 16π
2. 3 cm
3. 2cm 64 π
Worksheet 4D (page 4.9) 1. 21 : 21 : AA
21 :VV
(a) 2 : 1 4 : 1 8 : 1
(b) 5 : 2 25 : 4 125 : 8
(c) 2 : 3 4 : 9 8 : 27
(d) 10 : 7 100 :49 1 000 : 343
2 (a) 12.5% (b) 21.6%
Build-up Exercise 4A (page 4.11) 1. 3cm 160
2. 3cm 6
abh
3. 3cm 000 8
4. (a) 2cm 165 (b) 3cm 100 1
5. 5
6. 5 cm
7. 2cm 156
8. (a) 7.18 cm (b) 3cm 8.59
9. 16.3 cm
10. (a) 2cm 618 (b) 2cm 670 1
11. (a) 27.0 cm (b) 3cm 160 2 (c) 2cm 200 1
12. (a) 50 cm (b) 9.6 cm (c) 3cm 732
13. (a) 2cm 440 2 (b) 2cm 440 6
14. 9.09%
15. (a) cm 20 =VA , height cm 1.14 =
(b) 3cm 480 1 (c) 17.3 cm (d) 2cm 987
Build-up Exercise 4B (page 4.13) 16. (a) 3cm 48 π (b) 3cm 480 π (c) 3cm 000 2 π
17. (a) 2cm 120 π (b) 2cm 240 π (c) 2m 69.3 π
18. (a) Volume
3cm 768 π= , total surface area
2cm 384 π=
(b) Volume
3cm 320 π= , total surface area
2cm 200 π=
(c) Volume
3cm 392 π= , total surface area
2cm 224 π=
19. (a) 10.7 cm (b) 2cm 144
20. (a) 3cm 729 π (b) 2cm 640 1
21. (a) 2cm 225 π (b) $35.3
22. (a) 10 cm (b) 2cm 020 1
23. 4.46 cm
24. (a) 3cm 31.4 (b) 77
25. (a) 9.49 cm (b) 8.37 cm (c) 3cm 789
© 2010 Chung Tai Educational Press. All rights reserved.
4.24
26. (a) 3cm 053 1 π (b) 2cm 660 1
27. (a) 2.5 cm (b) 87.5%
28. (a) 6 cm (b) 2cm 7.39
(c) 3cm 6.59
29. (a) 3cm 380 π (b) 3cm 700 π (c) 2cm 160 1
Build-up Exercise 4C (page 4.17) 30. (a) 3cm
29
π (b) 2cm 9 π
31. (a) 3cm 3
256
π (b) 2cm 64 π
32. (a) 3m 2
125 1
π (b) 2m 225 π
33. (a) Volume 3cm
3048 2
π
= , total surface area
2cm 256 π=
(b) Volume 3cm
3250
π
= , total surface area
2cm 75 π=
(c) Volume 3cm
3000 2
π
= , total surface area
2cm 300 π=
34. 1.96 cm
35. 5.76 cm
36. 2cm 4 π
37. 2cm 108 π
38. 3cm 288 π
39. 3cm 000 36 π
40. (a) 2cm 296 1 π (b) 3cm 776 7 π
41. (a) Decreased (b) 16.0%
42. 3mm 3
608
π
43. 10.8%
44. (a) 3cm 280 1 (b) 0.402 cm
Build-up Exercise 4D (page 4.20) 46. (a) 9:16 (b) 27:64
47. 2cm 3
112
π
48. 3cm 4
375
49. 3cm 800 036 1
50. (a) (i) 64:25: ,8:5: 21 21 == AA
(ii) 9:16: ,3:4: 21 21 == AA
(b) (i) 125:8: ,5:2: 21 21 == VV (ii) 197 2:331 1: ,13:11: 21 21 == VV
51. 3cm 673 2
52. 3.97 cm
53. 25.971 2%
54. (a) 5:6 (b) 125:216
55. (a) 17.1:1 (b) 37.1:1
56. The big ice-cream
57. (a) 35:27 (b) cm 27
58. (a) 7:8:1 (b) 37:26:1
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