โจทย์การหาปริมาตร ม.3

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คณิตศาสตร์พื้นฐาน ม.3

TRANSCRIPT

3

4

3

3

1

3

8 2

1. 3

2. 3

3. 3

4. 3

5. 3

6. 3

7. 3

8. 3

3

1

A 1

B 5

C 9

13

- A, B C18

- 19

3

1

2

3 /

/

1.

2.

2.1 A

2.2 B

2.3 C

3.

4. 3

5.

6. /

3 A

1.

20 9

. 90 . 120

. 160 . 180

2. 9.5

8.5 10.5

. 847.785

. 877.485

. 847.875

. 874.775

3. 25 40 20

14,000

. 6

. 8

. 10

. 14

4.

24 12

8

4

. 12 . 24

. 36 . 40

5.

20 40

1.5

5,000

12

200

. 48,000

. 50,000

. 480,000

. 500,000

6. 14

17

15

. 840

. 630

. 1,000

. 5,040

7. 15

30 90

15

. 22,500 . 23,500 . 23,450 . 25,500

8. 8 .

7 .

(

p

= 3.14)

.50.24

.401.92

.100.48

.25.12

9. 7 21

(

7

22

p

)

. 2,334

. 3,244

. 3,234

. 3,324

10. 14.5

15.5

(

p

= 3.14)

. 705.715

.705.517

. 507.715

. 750.715

11. 72

3

. 1.5

. 1.75

. 2.25

. 2.55

12. 308

10

. 373.7 . 732.3 . 377.3

. 373.3

13.

18 12

15 3

34

. 864

. 432

. 540

. 666

14.

18 15

. 10

. 11

. 12

. 13 15. 644

23

. 50

. 56

. 60

. 72

16.

2.5

15

.62.5

.37.5

.65.2

.37.5

17. 10.5

15

. 1,350.625

. 1,721.725

. 1,271.725

. 1,730.925

18. 18

8

. 563.21 . 536.12

. 653.02 . 653.12

19. 1

5 10

. 1,540

. 15,400

. 15,300

. 16,400

20.

p

48

8

. 6

. 9

. 10

. 12

21.

3 8

. 70.2

. 72.4

. 74.5

. 75.4

22. 4 5

. 16

. 26

. 36

. 46 23. 3,054.8

. 8

. 9

. 10

. 11

24. 11

8 5

1

. 105 . 106

. 107

. 108

25.

8

(

p

= 3.14)

. 2113.57

. 2143.57

. 2413.57

. 3412.57

26.

81 : 4

. 8 : 3

. 2 :

27.

6 5

0.3

. 1,250

. 1,350

. 1,450

. 1,550

28.

21

. 7

. 8

.9

. 10

29

6 14.4

4

1.728

. 100

. 200

. 300

. 400

30.

. 4

. 8

. 10

. 12

3 B

1

1.

9

12

10

. 208 . 616

. 636 . 696

2.

10.5

6

3.5

. 63 . 180.50

. 220.50 . 222.25

3. 7 4 12

. 48

. 84

. 132

. 336

4. 343

. 2 . 5

. 7 . 9

5. 8 3

. 16

. 24

. 30

. 36

6. 3 4 10

. 30

. 40

. 50

. 60

7. 15 . 24 .

.1,440 1,890

.360 810

.1,440 810

.36 0 1,665

8. 24 12 8 4

. 12

. 24

. 36

. 40

9 8 96

12

. 14

16

. 17 10 25 40 14000

. 6 . 8

. 12 . 14

11. 15 .

7 .

(

p

= 3.14)

. 100.48

. 176.25

. 176.625

. 353.25

12. 7

21

(

7

22

p

)

. 2,334

. 3,244

. 3,234

. 3,324

13. 14 - 6.5 (

p

= 3.14)

. 272

. 286

. 144

. 284

14. 5.25 8 ( 1 = 7.5 )

. 1,233.753

. 1,299.357

. 1,299.375

. 1,354.655

15. 21

. 7

. 8

.9

. 10

16. 24 9

. 216

. 225

. 576

. 720

17.

15

10

.150

.200

.200

2

.100

2

18. 9 12 15

. 540 . 600

. 700 . 720

19. 21 2,205

. 15

. 18

. 20

. 24

20.

2.5

15

.62.5

p

.37.5

p

.65.2

p

.37.5

p

21. 12 18

. 216

. 37.68

. 254.34

. 113.04

22. 9 15

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. 1,721.7

. 1,271.7

. 1,562.5

23. 75.36 8

. 2

. 3

. 4

. 5

24.

.

.

. 4

p

r2

.

25. 6 (

p

= 3.14)

. 216 .96

. 452.16

. 265.34

. 321.87

26. 6 (

p

= 3.14)

. 250.32

. 502.32

. 704.32

. 904.32

27. 4 5

. 16

p

. 26

p

. 36

p

. 46

p

28. 154

. 179.67

. 189.67

. 189.76

. 199.67

29. 5 8

. 10 : 15

. 15 : 32

. 32 : 64

. 25 : 64

30. 11 8 5 1

. 105

. 106

. 107

. 108

3 C

1

1.

3

4

5

. 45

. 47

. 60

. 94

2.

8

3

3

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3. 3

4 12

. 19

. 144

. 78

. 74

4. 64

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. 76 . 9

5.

8 3

. 16

. 20

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6. 5.3

8

636

15

14

13

12

7 14 3 5 150

3150 315

31.5 3.15

8.

5

. 6 .

. 25 480

. 480 505

. 480 520

. 480 530

9.

. 2

p

r2 x h. 2

p

r2

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p

r x h + 2

p

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p

r2 x h + 2

p

r2

10.

.

.

.

.

11 8 .

7 .

(

p

= 3.14)

. 100.48

. 401.92

. 500.24

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12. 14

6.5

(

p

= 3.14)

. 272

. 286

. 307

. 284

13. 7 21

(

7

22

p

)

. 2,334

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14. 10

8

p

. 64

p

. 112

p

. 120

p

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p

15.

.

.

.

.

16. 1

2

3

4 5

. 1

. 5

. 2

. 4

17.

88

.

.

.

.

18. 16 10

. 240

. 144

. 136

. 256

19.

15

45

. 3,375 . 3,475 . 4,375 . 4,735 20.

.

p

rl2

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p

r2

. 2

p

r

.

p

rl

21.

.

.

.

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p

r

22. 1

2

5 3 6 4

. 5 6

. 4

. 3

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23. 12

18

. 216 . 37.68

. 254.34 . 113.04

24. 9

15

. 1,350.6

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. 1,211.7

. 1,562.5

25.

.

p

3

4

r2

.

p

3

4

r3

.

p

3

2

r2h

.

p

3

2

rh

26.

.

.

.

4

p

r2

.

27.

6

(

p

= 3.14)

. 216 .96

. 452.16

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28.

6

(

p

= 3.14)

. 250.32

. 502.32

. 704.32

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29. 4 5

. 16

p

. 26

p

. 36

p

. 46

p

30. 3,052

. 8

. 9

. 10

. 11

3

1

1.

9

12

10

. 208 . 616

. 636 . 696 2. 24 10.5

. 69 . 75

. 160 . 180

3.

10.5

6

3.5

. 63 . 180.50

. 220.50 . 222.25 4. 729

. 2 . 5

. 7 . 9

5. 25 40 20 14,000

.6 .8

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6. 15 . 24 .

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7. 24 12 8 4

. 12

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8. 8 168

. 20 . 21

. 26 . 27

9. 15 .

7 .

(

p

= 3.14)

. 100.48

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10. 7 21 (

7

22

p

)

. 2,334

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. 3,234

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11. 10 14 (

p

= 3.14)

. 439.6

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12. 21 . 5 . 6

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13. 72 3

. 1.5

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14. 24 9

. 216

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15.

15

10

.150

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2

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2

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. 17

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17.

2.5

15

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p

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p

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p

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20. 75.36 8

. 3

. 4

. 5

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21.

.

.

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p

r2

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22. 452.16

. 5 . 6

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23 4 5

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p

. 26

p

. 36

p

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p

24. 6 (

p

= 3.14)

. 250.32

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25. 154

. 179.67

. 189.67

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. 199.67

26. 5 8

. 10 : 15

. 15 : 32

. 32 : 64

. 25 : 64

27 11 8 5 1

. 105

. 106

. 107

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28 81 : 4

. 8 : 3

. 2 : 9

. 9 : 2

. 5: 3

29 6 14.4 4 1.728

. 100

. 200

. 300

. 400

30. . 4

. 8

. 10

. 12

3

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