College Physics 10th Edition by Raymond Serway,Chris Vuille

Exercise 44

In order to minimize neutron leakage from a reactor, the ratio of the surface area to the volume must be as small as possible. Assume that a sphere of radius a and a cube both have the same volume. Find the surfaceto- volume ratio for (a) the sphere and (b) the cube. (c) Which of these reactor shapes would have the minimum leakage