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Math Help - Solid mensuration -

  1. #1
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    Post Solid mensuration -

    Hey guys , please kinda show me the solution for this problem .
    The
    Answer is 77/48 ft.

    Two rectangular water tanks with tops on the same level are connected by a pipe through their bottoms. The base of one is 6 in. higher than that of the other. Their dimensions are 4 by 5 by 2 1/2 ft, and 4 by 7 by 3 ft., respectively. How deep is the water in the larger tank when the water they contain equals half their combined capacity, if the 2 1/2 ft. and 3 ft. edges are vertical?

    THANKS MUCH !!

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  2. #2
    Senior Member MaxJasper's Avatar
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    Lightbulb Re: Solid mensuration -

    1st tank bottom is 6" higher than the 2nd.

    v1 = 4*5*2.5
    v2 = 4*7*3

    1/2*(v1+v2) = 67 = vol of water in both tanks.

    h = elevation of water in larger tank:

    67 = 4*5*(h-.5) + 4*7*h

    h = 1.6042'
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