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-   -   Is this equation dimentionally correct? (https://www.askmehelpdesk.com/showthread.php?t=102404)

  • Jun 18, 2007, 07:15 PM
    angie_aglr
    Is this equation dimentionally correct?
    The volume of a sphere is giving by volume equals pi times diameter cube divided by 4 (v=3.14d^3/4) where v is the volume and d is the diameter of the sphere. (Using the SI Units analysis)



    v=3.14d^3/4
  • Jun 18, 2007, 11:29 PM
    Capuchin
    well, volume is measured in and d is measured in , since you're cubing d, that forms , so the dimensions are the same on both sides.
  • Jun 19, 2007, 09:28 AM
    ebaines
    The equation is dimensionally correct, but the denominator is wrong. The volume of a sphere is (4/3) * pi * Radius^3. Expressed in terms of the diameter D, the volume is:


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