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)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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