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    Question

    Water flows at the rate of 10 meter per minute from a

    cylindrical pipe 5mm in diameter. How long it takes to fill up a conical vessel whose diameter at the base is 30cm and depth 21cm.
    A 20minute 12second. Correct Answer Incorrect Answer
    B 21minute 12second. Correct Answer Incorrect Answer
    C 25minute 12second. Correct Answer Incorrect Answer
    D 23minute 19second. Correct Answer Incorrect Answer

    Solution

    let the radius of cylindrical tank =R =30/2=15cm, and height =H=21cm Given- speed of flow= 10m = 1000cm Diameter of base of cylindrical pipe = 5mm Radius =2.5mm = .25cm Now- Area of base ×speed of flow × time = Volume of the cylindrical tank   .25×.25×1000×t=1/3 ×15×15×21 t = 25.2minute t=25minute 12second.

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