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angie_aglr · Jun 18, 2007, 07:15 PM

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

Capuchin · Jun 18, 2007, 11:29 PM

well, volume is measured in $m^3$ and d is measured in $m$ , since you're cubing d, that forms $m^3$ , so the dimensions are the same on both sides.

ebaines · Jun 19, 2007, 09:28 AM

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:

$<br /> V = \frac {\pi D^3} 6<br />$