This is an announcement for the paper "A solution to a question of A. Koldobsky" by Emanuel Milman. Abstract: In 2000, A. Koldobsky asked whether two types of generalizations of the notion of an intersection-body, are in fact equivalent. The structures of these two types of generalized intersection-bodies have been studied by the author in [http://www.arxiv.org/math.MG/0512058], providing substantial positive evidence for a positive answer to this question. The purpose of this note is to construct a counter-example, which provides a surprising negative answer to this question in a strong sense. This negative answer implies the existence of a non-trivial non-negative function in the range of the spherical Radon transform. Archive classification: Functional Analysis Remarks: 13 pages The source file(s), Solution-To-Koldobsky-Question.bbl: 5474 bytes, Solution-To-Koldobsky-Question.tex: 41825 bytes, is(are) stored in gzipped form as 0701779.tar.gz with size 14kb. The corresponding postcript file has gzipped size 110kb. Submitted from: emanuel.milman@weizmann.ac.il The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0701779 or http://arXiv.org/abs/math.FA/0701779 or by email in unzipped form by transmitting an empty message with subject line uget 0701779 or in gzipped form by using subject line get 0701779 to: math@arXiv.org.