32. Perhatikan gambar berikut! Volume bangun ruang gabungan di atas adalah ... cm. (π= 3,14)
Jawaban:
Bangun Ruang
Diameter bola = Diameter tabung = 20 cm
Jari - jari = d/2 = 20/2 = 10 cm
Tinggi tabung = 14 cm
Volume gabungan:
V = Volume ½ bola + Volume tabung
V = 2/3πr³ + πr²t
V = 2/3 x 3,14 x 10³ + 22/7 x 10² x 14
V = 2/3 x 3,14 x 1.000 + 22/7 x 100 x 14
V = 2/3 x 3.140 + 22 x 100 x 2
V = (6.280/3) + (4.400)
V = 2.093,33 + 4.400
V = 6.493,33 cm³
[tex]volume \: tabung + \frac{1}{2} \: bola \\ \pi {r}^{2} (t + \frac{2}{3}r) \\ 3.14 \times 10 \times 10(14 + \frac{2}{3}.10) \\ 314(14 + \frac{20}{3}) \\ 314( \frac{42 + 20}{3}) \\314( \frac{62}{3}) \\ 6489.3 \: {cm}^{3} [/tex]
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