(Solved): 3.17 A container with two circular vertical tubes of diameters d1=39.5mm and d2=12.7mm i ...

3.17 A container with two circular vertical tubes of diameters $$d_1=39.5\mathrm{mm}$$ and $$d_2=12.7\mathrm{mm}$$ is partially filled with mercury. The equilibrium level of the liquid is shown in the left diagram. A cylindrical object made from solid brass is placed in the larger tube so that it floats, as shown in the right diagram. The object is $$D=37.5\mathrm{mm}$$ in diameter and $$H=76.2$$ $$\mathrm{mm}$$ high. Calculate the pressure at the lower surface needed to float the object. Determine the new equilibrium level, $$h$$, of the mercury with the brass cylinder in place.