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Simple Question: Volume -> Diameter

  1. Mar 31, 2004 #1
    Simple Question: Volume --> Diameter

    I know how to find volume using diameter, but how do you find diameter using volume????
  2. jcsd
  3. Mar 31, 2004 #2
    The volume of what? A sphere? A cylinder? A cone?

  4. Mar 31, 2004 #3
    ..whoops...yeah, a sphere. How do you find the diameter of a sphere using the volume?
  5. Mar 31, 2004 #4
    [tex]V = \frac{4}{3}\pi \Big(\frac{d}{2}\Big)^3[/tex]

    That's the formula for the volume of a sphere in terms of the diameter. Now just solve for d!

    [tex]d = \sqrt[3]{\frac{6V}{\pi}}[/tex]

    Last edited: Mar 31, 2004
  6. Mar 31, 2004 #5


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    Cookiemonster probably meant to cube his radius, not to square it, and thus also to use a cube root, not a square root. This would change his final formula slightly.
    Last edited: Mar 31, 2004
  7. Mar 31, 2004 #6
    Hah, hah, hah... Did I do that?

  8. Mar 31, 2004 #7
    Thanks for the help cookiemonster...
  9. Mar 31, 2004 #8
    Gah... Minor details.

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