Cone

cones are assumed to be right circular, meaning that the base is circular and that the axis passes through the centre of the base at right angles to its plane

A cone (such as a heaped pile of sand) has exactly one third of the volume of a surrounding cylinder:

A cone has about one quarter of the volume (actually 26.18%) of a surrounding box with a square base:

  • this number of 26% is derived from taking 80%×1/3\sim80\% \times 1/3 (above calculation for area of a cone within a cylinder)