Newbie Help with putting pattern on a surface

I am trying to put a pattern to flow down the length of this simple toothbrush model for some upskilling and I can’t figure out how to make the half sphere at the bottom to match the direction of the cylinder at the top… I want the pattern to radiate upwards from the bottommost point on the sphere and shrink as it gets to the top of the cylinder. I’m attaching what I am seeing right now and a simple sketch of what I want to happen. Thanks in advance for helping out a newbie!

if you make the bottom part of the handle one surface revolved from a single (poly)curve, it will be much easier to control.

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