When a Block of Volume 1

Multiple Choice

When a block of volume 1.00 × 10^-3 m³ is hung from a spring scale as shown in Figure A, the scale reads 10.0 N. When the same block is then placed in an unknown liquid, it floats with 2/3 of its volume submerged as suggested in Figure B. The density of water is 1.00 × 10³ kg/m³.
-Determine the density of the unknown liquid.

A) 3.03 × 10³ kg/m³
B) 4.62 × 10³ kg/m³
C) 6.16 × 10³ kg/m³
D) 8.01 × 10³ kg/m³
E) 1.57 × 10⁴ kg/m³