Hyperbolae 2 - introducing the third dimension

This is a summary of today's musings. In essence I have done two fairly basic things that marginally extend the 2-dimensional hyperbola: I have taken the infinitesimal-lamina principle behind solid revolution and used it to model how the function will rotate around the x-axis. Then I have returned to the basic calculus of revolution to derive an expression for the volume of a lobe, given values of the stretch-coefficients a and b, and the limit of integration c. Enjoy!