Question

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Answer 1

1. Diketahui:

d = 10 cm, maka r = 5 cm

s = 13 cm

t tabung = 12 cm

Ditanya:

V

Jawab:

Cari tinggi kerucut dulu karena yang diketahui garis pelukis (s):

t = √(s² - r²) = √(13² - 5²) = √(169 - 25) = √144 = 12 cm

Maka t kerucut = t tabung

Cari volume gabungan:

V = V kerucut + V tabung + V setengah bola

= 1/3 πr²t + πr²t + 2/3 πr³

= πr² (1/3 t + t + 2/3 r)

= πr² (4/3 t + 2/3 r)

= 3,14 x 5² ((4/3 x 12) + (2/3 x 5))

= 78,5 (16 + 3,33)

= 78,5 (19,33)

= 1517,4 cm³

Jadi, volume gabungan bangun tersebut 1517,4 cm³.

2. Diketahui:

t = 60 cm

d = 60 cm, maka r = 30 cm

Ditanya:

Volume air yang tertampung oleh tabung (di dalamnya terdapat bola)

Jawab:

V = V tabung - V bola

= πr²t - 4/3 πr³

= πr² (t - 4/3 r)

= 3,14 x 30² (60 - (4/3 x 30))

= 314 x 9 (60 - 40)

= 2.826 (20)

= 56.520 cm³

Jadi, volume air yang tertampung oleh tabung adalah 56.520 cm³.

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Answer 2

1) T = √13² - 5²

= √(13(13) - (5(5)

= √169 - 25

= √144

= √12²

= 12 CM

R = 10/2 = 5 CM

MAKA :

V = 1/3(3,14(5²(12) + (3,14(5²(12) + (2/3(3,14(5)³

= 1/3(3,14(25(12) + (3,14(25(12) + (2/3(3,14(125)

= 1/3(942) + 942 + (2/3(392,5)

= 942/3 + 942 + (2(392,5)/3)

= 314 + 942 + 261,6

= 314 + 1.203,6

= 1.517,6 CM³

2) R = 60/3 = 30 CM

MAKA :

V = (3,14(30²(60) + (4/3(30)³

= (3,14(900(60) + (4/3(27.000)

= 169.560 + (4(27.000)/3)

= 169.560 + 36.000

= 205.560 CM³

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