Creating Hyperbolic Funnel

not sure where to start on how to make the hyperbola xy=1 in the first quadrant and rotate it around the y axis to make an upside down funnel shape I can 3D print. Using it for a water experiment. Just need to make the 3D model, would like the walls of the funnel to be 0.3cm thick, 15cm diameter on the opening (at x=3), 9.166cm high (y=4). Any help would be appreciated! Thanks.

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