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Find a function which divides a rectangle into pieces with given properties

Consider a curve whose Cartesian equation is given by y = f(x), and which passes through the origin. A rectangular region is drawn with one corner at the origin, and the other corner on the curve of the graph of f(x). The curve f(x) then divides the rectangle into two pieces A and B. These two pieces of the rectangle then generate solids of revolution when rotated about the x-axis. If the volume of one solid of revolution is always n times the volume of the other solid of revolution, find the equation for f(x).


Incomplete.

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