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Math Help - help on finding the height of the test tube

  1. #1
    Member helloying's Avatar
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    help on finding the height of the test tube

    i know the vol of water is 8 \frac{1}{3} \pi

    the formula for vol of hemisphere is  \frac{4}{3} x 1.5^2 x \frac{1}{2} x \pi

    then i add the formula for vol of cylinder 1/3 x \pi x 1.5^3 x height

    i found the height to be 2 \frac{19}{27}

    now how do i find the height of the hemisphere?
    Attached Thumbnails Attached Thumbnails help on finding the height of the test tube-img030.jpg  
    Last edited by helloying; September 6th 2009 at 03:51 AM.
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  2. #2
    Super Member
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    Quote Originally Posted by helloying View Post
    ...
    the formula for vol of hemisphere is  \frac{4}{3} x 1.5^2 x \frac{1}{2} x \pi
    ...

    Volume of a sphere
     \dfrac{4}{3} \pi r^3

    The volume of a hemisphere would be half the volume of a sphere.


    now how do i find the height of the hemisphere?
    Double the Diameter of the sphere and Divide by 4

    .
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  3. #3
    Member helloying's Avatar
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    Quote Originally Posted by aidan View Post
    Volume of a sphere
     \dfrac{4}{3} \pi r^3

    The volume of a hemisphere would be half the volume of a sphere.



    Double the Diameter of the sphere and Divide by 4

    .
    is this the formula to find height? can u explain to me why?
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