diketahui volume tabung 48.125 liter,dan tingginya 50 cm.berapa cm diameter tabung tersebut?
Matematika
ray198
Pertanyaan
diketahui volume tabung 48.125 liter,dan tingginya 50 cm.berapa cm diameter tabung tersebut?
2 Jawaban
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1. Jawaban endrowandreasp007mb
V = 48.125 liter = 48125000 cm^3
t = 50 cm
Maka
V = Π x r^2 x t
48125000 = Π x r^2 x 50
Πxr^2 = 48125 x 10^3 / 50
Πxr^2 = 9625 x 10^2
r^2 = 9625 x 10^2 / 22/7
r^2 = 3025 x 10^2
r = √3025 x 10^2
r. = 55 x 10
= 550 cm
d = 2r
= 2 x 550
= 1100 cm
Jadi diameter tabung adlh 1100 cm
Semoga membantu
Thanks -
2. Jawaban wiyama
Diketahui V = 48.125 Liter 48.125 × 10³ cm³ dan t = 50 cm
Ditanya : diameter (cm)?
Penyelesaian :
V = π × r² × t
V = π × (1/4 × d²) × t
48.125 × 10³ cm³ = 22/7 × 1/4 × 50 cm × d²
48.125 × 10³ cm³ = 11/7 × 25 cm × d²
48.125 × 10³ cm³ = 275 cm/7 × d²
48.125 × 10³ cm³ = 39,29 cm × d²
48.125 × 10³ cm³ / 39,29 cm = d²
d² = 48.125 × 10³ cm³ / 39,29 cm
d² = 1224,87 cm²
d = √1224,87 cm² = 34,99 cm