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Found problems: 1

1965 Spain Mathematical Olympiad, 7
Tags: density , mass , geometry
A truncated cone has the bigger base of radius $r$ centimetres and the generatrix makes an angle, with that base, whose tangent equals $m$. The truncated cone is constructed of a material of density $d$ (g/cm$^3$) and the smaller base is covered by a special material of density $p$ (g/cm$^2$). Which is the height of the truncated cone that maximizes the total mass?