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8 October, 03:12

A particular dam contains approximately 1,900,000,000,000 cubic feet of water. for a week long spike flood, the dam released at a rate of 24,600 cubic feet per second. how much water was released during the flood?

what percentage of the dam was released during the flood?

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  1. 8 October, 03:18
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    a) How much water was released during the flood?

    14878080000 cubic feet or 14,878,080,000ft³

    b) What percentage of the dam was released during the flood?

    0.78%

    Step-by-step explanation:

    a) How much water was released during the flood?

    The first step would be to find out how many seconds are in a week

    60 seconds = 1 minute

    60 minutes = 1 hour

    24 hours = 1 day

    7 days = 1 week

    Hence, the number of seconds in a week =

    1 week * (7 days/1 week) * (24 hours/1 day) * (60 minutes/1 hour) * (60 seconds/1 minute)

    = 604800 seconds

    Therefore, the quantity of water released per week =

    604800 seconds * 24,600 cubic feet per second

    = 14,878,080,000 cubic feet or 14,878,080,000ft³

    b) What percentage of the dam was released during the flood?

    This is calculated as quantity released during the week : Quantity of water in the dam * 100%

    Quantity of water released during the flood in a week = 14,878,080,000 cubic feet

    Quantity of water in the dam = 1,900,000,000,000 cubic feet of water

    Percentage of the dam released during the flood =

    14,878,080,000 cubic feet : 1,900,000,000,000 * 100

    = 0.7830568421%

    Approximately = 0.78%
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