Question icon
Grade upto college level Mechanics

Water is poured to the same level in each of the vessels shown, all having the same base area (Fig. 15-17). If the pressure is the same at the bottom of each vessel, the force experienced by the base of each vessel is the same. Why then do the three vessels have different weights when put on a scale? This apparently contradictory result is commonly known as the hydrostatic paradox.
src=data:image/png;base64,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

Profile image of Shane Macguire
11 Years agoGrade upto college level
Answers icon

1 Answer

Profile image of Deepak Patra
11 Years ago
233-360_1.PNG
233-2280_1.PNG
This shows that the weight of the object depend son it volume.
In the given three vessels, the shapes of the vessels are different. Even though the water in the vessels is at the same level, the amount of water is not the same in all the three vessels. This shows that the volume of the water contained in all the three vessels are not the same. Thus, the weight of the water exerted by the three vessels will not be the same.
Therefore, the three vessels have different weights when put on a scale.