Question

    A cylindrical tank has a radius of 8 meters and a height

    of 12 meters. If the tank is filled with water, how much time will it take to fill the tank completely if water flows into the tank at the rate of 2 m³ per minute? ( use π = 3)
    A 1145 minutes Correct Answer Incorrect Answer
    B 1260 minutes Correct Answer Incorrect Answer
    C 1075 minutes Correct Answer Incorrect Answer
    D 1152 minutes Correct Answer Incorrect Answer

    Solution

    Volume of the cylinder = πr²h, Given: r = 8 meters, h = 12 meters. Volume of the tank = π(8)²(12) Volume = π × 64 × 12 Volume = 768π m³ = 2304 m³. Rate of flow = 2 m³/min. Time required = Volume / Rate Time = 2304 / 2 Time = 1152 minutes  Correct option: D) 1152 minutes

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