The Sphere Floats And Sinks
There are two liquids \(A\) and \(B\) of densities \(X\) and \(Y\) respectively. The liquids do not mix and \(A\) floats on \(B\).
There is a sphere \(C\) of density \(Z\) which floats stably at the interface of liquids \(A\) and \(B\), such that half of its volume is in \(A\), and the other half is in \(B\).
Which of the following gives the correct relationship between \(X,Y\) and \(Z?\)