Diketahui : - Tinggi Air = 30 cm - Diameter Tabung = 28 cm - Jari - Jari Tabung = ½ × 28 cm = 14 cm - Jari - Jari Bola = 7 cm
Ditanya : - Tinggi Air Setelah 6 Bola Dimasukkan = ....?
Penyelesaian : - Volume Air : V = π × r × r × t V = 22/7 × 14 × 14 × 30 V = 22 × 2 × 420 V = 44 × 420 V = 18.480 cm³
- Volume 6 Bola : V = 6 × 4/3 × π × r × r × r V = 2 × 4 × 22/7 × 7 × 7 × 7 V = 8 × 22 × 7 × 7 V = 176 × 49 V = 8.624 cm³
- Volume Tabung + Volume 6 Bola : V = 18.480 cm³ + 8.624 cm³ V = 27.104 cm³
- Tinggi Air Setelah 6 Bola Dimasukkan : V = π × r × r × t 27.104 = 22/7 × 14 × 14 × t 27.104 = 22 × 2 × 14t 27.104 = 44 × 14t 27.104 = 616t t = 27.104 ÷ 616 t = 44 cm
Verified answer
Diketahui :- Tinggi Air = 30 cm
- Diameter Tabung = 28 cm
- Jari - Jari Tabung = ½ × 28 cm = 14 cm
- Jari - Jari Bola = 7 cm
Ditanya :
- Tinggi Air Setelah 6 Bola Dimasukkan = ....?
Penyelesaian :
- Volume Air :
V = π × r × r × t
V = 22/7 × 14 × 14 × 30
V = 22 × 2 × 420
V = 44 × 420
V = 18.480 cm³
- Volume 6 Bola :
V = 6 × 4/3 × π × r × r × r
V = 2 × 4 × 22/7 × 7 × 7 × 7
V = 8 × 22 × 7 × 7
V = 176 × 49
V = 8.624 cm³
- Volume Tabung + Volume 6 Bola :
V = 18.480 cm³ + 8.624 cm³
V = 27.104 cm³
- Tinggi Air Setelah 6 Bola Dimasukkan :
V = π × r × r × t
27.104 = 22/7 × 14 × 14 × t
27.104 = 22 × 2 × 14t
27.104 = 44 × 14t
27.104 = 616t
t = 27.104 ÷ 616
t = 44 cm
Jawaban : C. 44 cm
Maaf Kalau Salah