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Water is flowing at the rate of 3 km/h through a circular pipe of 20 cm internal diameter into a circular cistern of diameter 10 m and depth 2 m. In how much time, will the cistern be filled?
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Verified answer
Step-by-step explanation:
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Answer:
Suppose the cistern is filled in x hours. Since water is flowing at the rate of 3km/hr.
Therefore length of the water column in x hours =3x km =3000x metres
Clearly, the water column forms a cylinder of radius
r=220cm=10cm=101m and h= height =3000x metres
Volume of the water that flows in the cistern in x hours
=πr2h=(722×101×101×3000x)m3
Also volume of the cister =(722×5×5×2)m3
Since the cistern is filled in x hours
Volume of the water that flows in the cistern in x hours = volume of the cistern
⇒722×101×101×3000x=722×5×5×2
⇒x=(30005×5×2×10×10)hrs=1hour40minutes
∴ Cistern is filled in
Step-by-step explanation:
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