[18:04]Kubus setengah bolarusuk (s) = 32 cmjari = (1/2)s = 32/2jari (r) = 16 cmVolume =s³ + (2/3)πr³ =32³ + (2/3)·3,14·16³ =32.768 + (2/3)·3,14·4.096 =32.768 + (2/3)·12.861,44 =32.768 + 8.574,2933.. =41.342,²⁹³³... cm³
[18:05]Tabung, diameter (d)d = 70 cm, Jari-jari tabung (R)R = 35 cmTinggi tabung (t)t = 30 cmStengah bola, r (jari-jari setengah bola)r = (1/2)30r = 15 cmMaka luas permukaan =πR² + 2πRt + (π(R²-r²)) + (2πr²) =π35² + 2π35·30 + (π(35²-15²)) + (2π·15²) =1.225π + 2.100π + 1.000π + 450π =4.775π =4.775 × 3,14 = 14.993,5 cm²
Penjelasan dengan langkah-langkah:
s = 32 cm
r = ½s
s = 2r
r = 16 cm
Volume = s³ + ⅔πr³
Volume = (2r)³ + ⅔πr³
Volume = 8r³ + ⅔πr³
Volume = r³(8 + ⅔π)
= 16³ × (8 + ⅔ × 3,14)
= 2¹² × (8 + 2,093)
= 4.096 × 10,093
= 41.342,293 cm³
dT = 70 cm
rT = 35 cm
tT = 30 cm
rB = ½.tT
rB = 30/2 = 15 cm
1) Luas permukaan Tabung = πd(r + t)
= 22/7 × 70 × (35 + 30)
= 220 × 65
= 110 × 130
= 14.300 cm²
2) Luas setengah bola = 2πr²
= 2 × 3,14 × 15²
= 6,28 × 225
= 1.413 cm²
3) Luas atap tabung = πrT²
= 22/7 × 35²
= 22 × 175
= 11 × 350
= 3.850 cm²
4) Luas alas bola = πrB²
= 3,14 × 15²
= 3,14 × 225
= 706,5 cm²
5) Luas atap tabung – Luas alas bola
= 3.850 – 706,5
= 3.143,5 cm²
Luas permukaan gabungan Tabung dan ½ bola
= Luas (1) + (2) + (5)
= 14.300 + 1.413 + 3.143,5
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[18:04]
Kubus setengah bola
rusuk (s) = 32 cm
jari = (1/2)s = 32/2
jari (r) = 16 cm
Volume =
s³ + (2/3)πr³ =
32³ + (2/3)·3,14·16³ =
32.768 + (2/3)·3,14·4.096 =
32.768 + (2/3)·12.861,44 =
32.768 + 8.574,2933.. =
41.342,²⁹³³... cm³
[18:05]
Tabung, diameter (d)
d = 70 cm,
Jari-jari tabung (R)
R = 35 cm
Tinggi tabung (t)
t = 30 cm
Stengah bola, r (jari-jari setengah bola)
r = (1/2)30
r = 15 cm
Maka luas permukaan =
πR² + 2πRt + (π(R²-r²)) + (2πr²) =
π35² + 2π35·30 + (π(35²-15²)) + (2π·15²) =
1.225π + 2.100π + 1.000π + 450π =
4.775π =
4.775 × 3,14 =
14.993,5 cm²
Penjelasan dengan langkah-langkah:
Kubus dan ½ bola
s = 32 cm
r = ½s
s = 2r
r = 16 cm
Volume = s³ + ⅔πr³
Volume = (2r)³ + ⅔πr³
Volume = 8r³ + ⅔πr³
Volume = r³(8 + ⅔π)
= 16³ × (8 + ⅔ × 3,14)
= 2¹² × (8 + 2,093)
= 4.096 × 10,093
= 41.342,293 cm³
Tabung dan ½ bola
dT = 70 cm
rT = 35 cm
tT = 30 cm
rB = ½.tT
rB = 30/2 = 15 cm
1) Luas permukaan Tabung = πd(r + t)
= 22/7 × 70 × (35 + 30)
= 220 × 65
= 110 × 130
= 14.300 cm²
2) Luas setengah bola = 2πr²
= 2 × 3,14 × 15²
= 6,28 × 225
= 1.413 cm²
3) Luas atap tabung = πrT²
= 22/7 × 35²
= 22 × 175
= 11 × 350
= 3.850 cm²
4) Luas alas bola = πrB²
= 3,14 × 15²
= 3,14 × 225
= 706,5 cm²
5) Luas atap tabung – Luas alas bola
= 3.850 – 706,5
= 3.143,5 cm²
Luas permukaan gabungan Tabung dan ½ bola
= Luas (1) + (2) + (5)
= 14.300 + 1.413 + 3.143,5
= 18.856,5 cm²