Question
A cylindrical tank has an internal radius of 14 meters
and a height of 10 meters. The tank is filled with water to 75% of its capacity. Water is then transferred into smaller cylindrical containers, each with a radius of 7 meters and a height of 5 meters. How many such smaller containers are required to completely empty the tank?Solution
Volume of the tank = πr²h = (22/7) × 14² × 10 = (22/7) × 196 × 10 = 6160 m³. Volume of water in the tank = 75% of 6160 = 0.75 × 6160 = 4620 m³. Volume of each smaller container = πr²h = (22/7) × 7² × 5 = (22/7) × 49 × 5 = 770 m³. Number of smaller containers required = 4620 / 770 = 6. Correct option: c
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