rectangular parallelopiped in cylinder.... may be calculus
Source:
May 11, 2012
calculusgeometryrectanglecalculus computations
Problem Statement
A cardboard box in the shape of a rectangular parallelopiped is to be enclosed in a cylindrical container with a hemispherical lid. If the total height of the container from the base to the top of the lid is centimetres and its base has radius centimetres, find the volume of the largest box that can be completely enclosed inside the container with the lid on.