A right circular cone of density ρ, floats just immersed with its vertex downwards, in a vessel containing two liquids of densities σ1 and σ2 respectively. The plane of separation of the two liquids cuts off from the axis of the cone at a fraction z (taken from vertex) of its length. Find z.

A right circular cone of density ρ, floats just immersed with its ver

1.	A right circular cone of density ρ, floats just immersed with its vertex downwards, in a vessel containing two liquids of densities σ1 and σ2 respectively. The plane of separation of the two liquids cuts off from the axis of the cone at a fraction z (taken from vertex) of its length. Find z.
Answer» A right circular cone of density $ρ,$ floats just immersed with its vertex downwards, in a vessel containing two liquids of densities $σ_{1}$ and $σ_{2}$ respectively. The plane of separation of the two liquids cuts off from the axis of the cone at a fraction $z$ (taken from vertex) of its length. Find $z$ .

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A right circular cone of density ρ, floats just immersed with its vertex downwards, in a vessel containing two liquids of densities σ1 and σ2 respectively. The plane of separation of the two liquids cuts off from the axis of the cone at a fraction z (taken from vertex) of its length. Find z.

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