Final answer:
To measure blood pressure as high as 300 mm Hg using a water-filled closed end manometer, the manometer needs to be at least 0.0305 meters tall.
Step-by-step explanation:
In order to measure blood pressure as high as 300 mm Hg using a water-filled closed end manometer, the height of the manometer needs to be at least 300 mm. The height of the manometer corresponds to the difference in pressure between the blood pressure and atmospheric pressure.
The height of the manometer can be determined using the equation:
P = hρg
where P is the pressure, h is the height of the manometer, ρ is the density of the liquid (water in this case), and g is the acceleration due to gravity.
Given that the density of water is 1000 kg/m³ and the acceleration due to gravity is 9.8 m/s², we can rearrange the equation to solve for h:
h = P/(ρg)
Substituting the values, we have:
h = 300 mm / (1000 kg/m³ · 9.8 m/s²) = 0.0305 m.
Therefore, the manometer needs to be at least 0.0305 meters tall to measure a blood pressure as high as 300 mm Hg.