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How to make Teardrop shape?

Hello all,
Currently, I have this design by sketching an ellispe shape and then extruding it, I've been tinkering with on shape for the past three hours, and can't figure out how to generate a "teardrop" shape from this - I want both of the poles to collaspe to a point as shown, along the length axis, however, I want the shape from above and below t look like this:
My next best guess is to revolve this surface as well after I make the lines black, and then somehow take the intersection of them (I believe that yeilds the desiired shape with appropriate boundaries???)
ANY advice would be appreciated
Answers
Model half of it. I used arcs with tangent constraints between them and made the center of the bottom one coincident with the origin.
https://cad.onshape.com/documents/957683e3522914fc26f8eb02/w/92fb3b575ae101446a80fa00/e/9a0b21b07db1b63629cf4fdc
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Use Evan's method but you will need to use a spline or more arcs in your sketch to get closer to a tear drop shape.
I think a teardrop is somewhere between the last two. But the second one made me chuckle because it looks like the snot sucker I used when my son was a baby.
https://cad.onshape.com/documents/46e66b4c68bcf60a092d25fe/w/b0fc951995746a5b507fe2b2/e/16ec756510715f52c8a594ef
LOL…it is allergy season.