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Question:
two vessels have the same base area but different shapes. The first vessel takes twice the volume of water than the second vessal to fillup to a perticular height is the force exerted by the water on THE base of vessel same in the two case why
Answer:

Two vessels having the same base area have identical force and equal pressure acting on their common base area. Since the shapes of the two vessels are different, the force exerted on the sides of the vessels has non-zero vertical components. When these vertical components are added, the total force on one vessel comes out to be greater than that on the other vessel. Hence, when these vessels are filled with water to the same height, they give different readings on a weighing scale.

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