Question
A cylindrical tank with a height of 12 meters and a
radius of 7 meters is filled with water. It has a leakage at the bottom that drains water at a rate of 25 liters per minute. How long will it take to empty half of the tank?Solution
Volume of the tank = πr²h = (22/7) × 7² × 12 = (22/7) × 49 × 12 = 1848 m³. Half of the volume = 1848 / 2 = 924 m³. Convert to liters: 924 × 1,000 = 9,24,000 liters. Time to empty = Volume / Rate = 9,24,000 / 25 = 36,960 minutes. Convert to hours: 36,960 / 60 = 616 hours. Correct answer: a) 616 hours.
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