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Water flowing through a channel or pipe, or into a tank: volume per time = area x speed

This type of question, asked 3 times: CDS 2 2020, CDS 1 2022, CDS 2 2026. All 3 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2020

    22
    A river 3 m deep and 40 m wide is flowing at the rate of 2 km/hr and falls into the sea. What is the amount of water in litres that will fall into the sea from this river in a minute ?

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  2. Question 2

    CDS 1 2022

    65
    A cylindrical pipe has inner diameter of 14 cm. Water flows through it at a rate of 154 litres per minute. What is the speed of water in km/hr? (Take π=227\pi = \dfrac{22}{7})

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  3. Question 3

    CDS 2 2026

    60
    A tall cylindrical reservoir kept vertically is 20 m in diameter. Water is poured into it at the rate of 264 m3\text{m}^3 per hour. What is the rate at which the water level rises in the reservoir per minute ? (Take π=227\pi = \frac{22}{7})

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