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.:confused: :confused:

Printable View

- Jun 20th 2007, 01:22 PMcruzangyalphysics
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.:confused: :confused:

- Jun 20th 2007, 01:26 PMppyvabw
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. - Jun 20th 2007, 02:04 PMCaptainBlack
- Jun 20th 2007, 03:45 PMppyvabw
Yeah, I missed that

if its d, then its wrong

if its d^3 then its fine. - Jun 21st 2007, 08:46 AMJohn 5