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Math Help - Find the time required for an inverted conical tank...?

  1. #1
    Super Member fardeen_gen's Avatar
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    Find the time required for an inverted conical tank...?

    Find the time required for an inverted conical tank of radius R and height H to empty through a round hole of cross sectional area a at the bottom. Given that the water flows according to the formula  V(t) = k\sqrt{2gh(t)} where V(t) and h(t) are respectively the velocity of flow through the hole and the height of water level above the hole at time t and g is the acceleration due to gravity.
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  2. #2
    Member
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    May 2009
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    The solution is:

    t = \frac{6 B_0}{5a V_0}

    where B_0 is the initial volume and V_0 is the initial velocity. I can't be bothered going through all the working as it would take too long to Late \chi!
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