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    Question

    (160/3)% of the raindrops could have been collected, when 5 cm of rain has fallen on a part of land of area 1.8 km2, in a tank having a 240 m × 10 m base, then water collected in the tank is 75% of its capacity. Find the capacity of the tank? 

    A 232500 m³ Correct Answer Incorrect Answer
    B 115200 m³ Correct Answer Incorrect Answer
    C 115000 m³ Correct Answer Incorrect Answer
    D 87500 m³ Correct Answer Incorrect Answer

    Solution

    The volume of rain water in the land which could have been collected and the volume of water in the tank should be equal . Let, level of water in the tank is h meter. According to the question, ⇒ 5/100 × 1800 × 1800 × 160/300 = 240 × 10 × h ⇒ h = 36 m Volume of water in the tank = 240m × 10m × 36m = 86400 m3 Since, water in the tank is 75% of its capacity. So, capacity of tank = (86400/75) × 100 = 115200 m3

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