If the height and radius of a right circular cone are 'h' and 'r', respectively, then the slant height is equal to √h2+r2.
The radii of the bases of two solid right circular cones of same height are r1 and r2 respectively. The cones are melted and recast into a solid sphere of radius R. Find the height of each cone in terms of r1,r2 and R.