One Piece in Physics?

Buggy , the Star Clown has special type of cannon ball called "Buggy Ball" which has the same range R on a horizontal plane for two angles of projection. If \(h_1,h_2\) are the greatest heights attained by the buggy ball in the two paths for the above two angles of projections , What is the value of the expression :

\[\dfrac{R}{\sqrt{h_1h_2}}\]

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