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25 March, 22:35

water is flowing at 0.7m/s through a circular pipe of an internal diameter of 2 cm into a cylindrical tank, the radius of whose base is 40 cm. find the increase in water level in 30 minutes

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  1. 25 March, 23:47
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    315 cm

    Step-by-step explanation:

    The volumetric flow is:

    Q = vA

    Q = v (πr²)

    Q = (70 cm/s) π (2 cm) ²

    Q = 280π cm³/s

    After 30 minutes (1800 seconds), the volume change is:

    ΔV = Q Δt

    ΔV = (879.6 cm³/s) (1800 s)

    ΔV = 504,000π cm³

    The increase in water level is therefore:

    ΔV = A Δh

    ΔV = πR² Δh

    504,000π cm³ = π (40 cm) ² Δh

    Δh = 315 cm
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