question_answer 23)

Two vessels have the same base area but different shapes. The first vessel takes twice the volume of water that the second vessel requires to fill up to a particular common height Is the force exerted by water on the base of the vessel the same m the two cases? If so, why do the vessels filled with water to that same height give different readings on a weighing scale?

Answer:

Since the pressure depends upon the height of column and the height of the water column m the two vessels of different shapes is the same, hence there will be same pressure due to water on the base of base area of each vessel is same hence, there will be equal force action on the base areas due to water pressure. The water exerts force on the walls of the vessel also. In case, the walls of the vessel are not pressure. The water exerts force exerted by water on the walls has a net non-zero vessel than that of second vessel. That is why, the two vessels filled with water to same vertical height show different readings on a weighing machine.