Oily Sphere

Classical Mechanics Level pending

A vessel contains oil of relative density" 0.8" floating over mercury with a relative density of \(\dfrac{68}{5}\) . A sphere floats with half of its volume in oil and with its other half in mercury.

If the density of the sphere is \(\dfrac AB\), in it's simplest form, then find \(A+B \). ( A/B is in the CGS Unit of density )

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