If both minor axes are of equal length, then the precise term you're looking for the overall character of the shape is prolate spheroid (Wikipedia). From M-W.com:
prolate: elongated in the direction of a line joining the poles <a prolate spheroid>
spheroid: an object that is somewhat round but not perfectly round
If the two minor axes are not exactly equal then it's a bit muddled, but per the above Wikipedia article one could probably call it, e.g., a prolate tri-axial ellipsoid.
hmmn's answer is good in terms of emphasizing the extent to which the length of the major axis is greater than those of the minor axes, however.
To note, the above is in contrast to an ellipsoid where there are two long axes and one short axis, which is an oblate spheroid:
oblate: flattened or depressed at the poles <an oblate spheroid>