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Math Help - Volume? Radius? HELP!!!

  1. #1
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    Exclamation Volume? Radius? HELP!!!

    1.)
    we want one cone shaped container and one sphere shaped container that each have the same radius and volume. what is the height of the cone in terms of the radius?



    2.)
    If the radius of a sphere is tripled, the volume of the sphere s how many times larger?

    3.)
    If the radius ofa cone is tripled, the volume of a cone is how many times larger?
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  2. #2
    Member ronaldo_07's Avatar
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    1. The volume of the cone: \frac{1}{3}\pi r^{2}h

    The volume of the sphere is \frac{4}{3}\pi r^{3}

    Since the Cone and the Sphere are of the same volume equate together:

    \frac{1}{3}\pi r^{2}h=\frac{4}{3}r^3\pi

    Now you just have to solve for h

    2. If the radius of the sphere is tripled, let r=(3r) for the sphere only then work out the volume

    3. If the radius of the cone is tripled, let r=(3r) for the cone only then work out the volume
    Last edited by ronaldo_07; January 17th 2009 at 06:09 PM.
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