How tall must a water-filled manometer be to measure blood pressure as high as $300 \mathrm{~mm} \mathrm{Hg}$ ?

Verify that the SI unit of $h \rho g$ is $\mathrm{N} / \mathrm{m}^2$.

The greatest ocean depths on Earth are found in the Marianas Trench near the Philippines. Calculate the pressure due to the ocean at the bottom of this trench, given its depth is $11.0 \mathrm{~km}$ and assuming the density of seawater is constant all the way down.

A glass tube contains mercury. What would be the height of the column of mercury which would create pressure equal to $1.00 \mathrm{~atm}$ ?

The tip of a nail exerts tremendous pressure when hit by a hammer because it exerts a large force over a small area. What force must be exerted on a nail with a circular tip of $1.00-\mathrm{mm}$ diameter to create a pressure of $3.00 \times 10^9 \mathrm{~N} / \mathrm{m}^2$ ? (This high pressure is possible because the hammer striking the nail is brought to rest in such a short distance.)

How is pressure related to the sharpness of a knife and its ability to cut?