# 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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