
06150405
j
2013b.00588
Pritchard, Chris
Ball in a box.
Math. Sch. (Leicester) 41, No. 1, 2527 (2012).
2012
Mathematical Association (MA), Leicester
EN
G30
I40
solid geometry
volume
spheres
cubes
cylinders
cones
ratio
optimization
differentiation
Summary: The article presents pairings of 2dimensional (2D) shapes occupying space inside other shapes to 3dimensional (3D) analogues. It provides the formula to obtain the proportion of volume of a cube occupied by a sphere in a cube. It cites the formula to obtain the volume of a sphere occupied a cube in a sphere. It notes formulas to obtain the ratio of the volumes of cylinders in a cube and similar scenarios.