Sphere is the object that has the minimal area for a fix volume, proof

[andonrangelov]

Can someone give a proof of the statement: “For fix volume a 3-D objects that has minimal surface area is the sphere” ?

 

[mathman]

http://www.peejeshare.com/mathemati...volume-sphere-has-minimum-surface-area-123391

The above may help.

 

[rbj]

http://www.peejeshare.com/mathemati...volume-sphere-has-minimum-surface-area-123391

The above may help.

didn't seem too helpful. maybe it needs some LaTeX formatting

i could tell some of the ? marks were supposed to be $\pi$, but there were some connections i could not make in the derivation.

 

[micromass]

Start here: http://en.wikipedia.org/wiki/Isoperimetric_inequality