Question

When a ball naturally floats in a pool filled with mercury (density 13600 kg/m° the buoyancy force on the ball is 2224 N. If a force of 1200 N is required to force the ball

completely under water, what is the volume of the ball?

Answer 1

$$g\rho V=mg+F$$

$$V=\frac{mg+F}{g\rho}=\frac{2224+1200}{9.8*13600}=2.57*10^{-2}\rm m^3$$