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Math Help - Length per unit volume of a cylinder

  1. #1
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    Length per unit volume of a cylinder

    Hello (I hope this is the right forum topic for this question)

    I am having some difficulty trying to calculate the length per unit volume for a cylinder.

    I know the radius of the cylinder. I also know the volume fraction of the cylinder.

    I need to calculate the length per unit (total) volume of the cylinders, which is a way to describe the density of cylinders.

    Any help with this would be greatly appreciated. Thanks.
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  2. #2
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    Re: Length per unit volume of a cylinder

    Hey jespl1.

    Which length are you referring to? Are you talking about the height of the cylinder with respect to the volume given that particular height?
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  3. #3
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    Re: Length per unit volume of a cylinder

    A cylinder of radius r has volume \pi r^2 h. The "volume per unit length" is, taking h=1, \pi r^2 so "length per unit volume" must be \frac{1}{\pi r^2}.
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  4. #4
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    Re: Length per unit volume of a cylinder

    The length per unit volume refers to the length of the cylinders with respect to the entire sample volume. Think of a collection of cylindrical objects floating in some water. All the cylinders have the same radius and there is a certain fraction of the overall volume occupied by the cylinders. I think I have figured this out though. The length per unit volume = the volume fraction/(pie x radius^2) (sorry I don't know how to use mathematical symbols etc>)
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  5. #5
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    Re: Length per unit volume of a cylinder

    You said "length per unit volume so your "volume fraction" is 1. That gives the answer I gave above.
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