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Math Help - Finding the radius of a cylinder

  1. #1
    Junior Member
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    May 2011
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    Finding the radius of a cylinder

    Hello,
    I am a very new member that had not made a new account because I was banned or anything ;-)

    Can anyone please show me how to answer the following question: (my exam is tomorrow so please the sooner the better)
    Water comes from a cylindrical tank.
    When 2 cubic metres of water leave the tank, the level of water in the tank goes down by 1.3 millimeters. Calculate the radius of the tank, in metres, correct to one decimal place.

    the answer is r= sqrt(2/pie*0.0013) = 22.1

    Thanks
    IBstudent, ow sorry I mean IGCSEstudent
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  2. #2
    Super Member
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    Nov 2007
    From
    Trumbull Ct
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    27

    radius of tank

    Hi IGCSE student.
    Since you want an answer in meters change the drop in level to meters.
    This drop times the cross sectional area of cylinder in sq meters = 2 cu meters,Solve equation in r radius of cylinder



    bjh
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  3. #3
    Newbie
    Joined
    May 2011
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    Try to completely imagine a new cylinder, one which has a:

    Height = 0.0013m
    Radius = x
    Volume = 2m

    Now since volume is:  Volume = \pi Radius^2  * Height

    you plug it in

     2 = \pi x^2 * 0.0013

    and solve, x=22.13
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