[Math] ny regular geometrical structure with maximum surface area and minimum volume

Question

I am interested to know a geometrical structure with maximum surface area and minimum volume. According to me double napped cone may have such property as surface area of a cone is $\pi rl +\pi r^2$ and its volume is $\pi r^2h/3$, where $r$=radius of the base of cone, $l$=lateral height of cone, $h$=height of cone.

Answer 1

I know one of such structures. It is a plane. :-)