The accompanying figure shows a parabolic profile that will define the mandrel shape in a conventional spinning

Question:

The accompanying figure shows a parabolic profile that will define the mandrel shape in a conventional spinning operation. Determine the equation of the parabolic surface. If a spun part is to be produced from a 10-mm-thick blank, determine the minimum blank diameter required. Assume that the diameter of the profile is 6 in. at a distance of 3 in. from the open end.