|A ball's volume and area are
1/2 the area of a box is 3 sides.
Area is 3d2, or 12r2.
Volume is 1/2 d3, or 4r3.
The volume of a box is Vcube = d3.|
The volume of a ball is Vsphere = 4/3 pi r3 = pi/6 d3.
An approximation of 3/6 for pi/6 is 4.5% low.
The area of a box is Acube = 6d2.
So unless you care about the 5%, please don't tell children to use 4/3 pi r3...
The amusement of finding pi in an equation no-one remembers is somewhat limited.
Comments encouraged. - Mitchell N Charity <firstname.lastname@example.org>)