Making a frustum from a flat pattern

I know how to get a flat projection from any surface, but how can I transform an oject redrawn from an old set of plans and create a cone or frustum from the flat projection?

Specifically, I am designing a 3d model of a Gemini capsule and have a redrawn sheet from the old McDonnel blueprints. I need to draw this as a skin and wrap it around the basic shape I already have to add the skin detail to the completed model. Eventually it will be a real model.

TIA

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