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Math Help - physics

  1. #1
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    physics

    You are told that the volume of a sphere is given by V=pie d3/4, where V is the volume and d is the diameter of the sphere. Is this equation dimensionally correct? Use SI unit analysis to find out.
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  2. #2
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    well the dimension of d is length. [L]

    3/4 and pi are dimensionless so the dimension of 3/4d^3 is [L]^3 which is the dimensions of volume.
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  3. #3
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    Quote Originally Posted by cruzangyal View Post
    You are told that the volume of a sphere is given by V=pie d3/4, where V is the volume and d is the diameter of the sphere. Is this equation dimensionally correct? Use SI unit analysis to find out.
    Please clarify the purported formula, do you mean:

    <br />
V=\pi d^3/4<br />

    which is dimensionally OK, or:

    <br />
V=\pi d~\frac{3}{4}<br />

    which is not.

    RonL
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  4. #4
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    Yeah, I missed that

    if its d, then its wrong

    if its d^3 then its fine.
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  5. #5
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    Quote Originally Posted by CaptainBlack View Post
    Please clarify the purported formula, do you mean:

    <br />
V=\pi d^3/4<br />
    I think she meant this one.
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