1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    Science Advisor

    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.

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook