Density is expressed as:

$\overline{){\mathbf{\rho}}{\mathbf{=}}\frac{\mathbf{m}}{\mathbf{V}}}$'

Three balls with the same volume 1.0 × 10^{-6} m^{3} are in m open tank of water that has a density (ρ) equal to 1.0 × 10^{3} kg/m^{3}. The balls are in the water at different levels. Ball 1 floats in water with a part of it above the surface, ball 2 is completely submerged in the water, and ball 3 rests on the bottom of the tank Any movement of the water obeys Bernoulli's equation:

, where P_{1} and P_{2} are the pressures at elevations y_{1} and y_{2}, and v_{1} and v_{2} are the speed of the water. (Note: Unless otherwise noted, the water and the balls are stationary).

Assume that the density of ball 1 is 8.0 × 10^{2} kg/m^{3}. Ignoring atmospheric pressure, what fraction of ball 1 is above the surface of the water?

A. 5/4

B. 3/4

C. 1/4

D. 1/5

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