A vessel contains oil (density ) over mercury (density )

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Fluids · Fluids

Problem

A vessel contains oil (density

= 0.8 \text{ gm/cm}^3

) over mercury (density

= 13.6 \text{ gm/cm}^3

). A homogeneous sphere floats with half its volume immersed in mercury and the other half in oil. Find the density of the material of the sphere in

\text{gm/cm}^3

. (1) 3.3 (2) 6.4 (3) 7.2 (4) 12.8