10.23 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 the water on the base of the vessel the same in the two cases? If so, why do the vessels filled with water to that same height give different readings on a weighing scale?
Yes
The pressure on the bases of the two vessels is the same as the water is filled up to the same height in both vessels and the force applied on the bases is also the same as the area of the bases of both vessels is same. As the volume of water filled in both vessels is different, the weight of the water in the vessels is also different and the weighing scale gives different readings. The pressure on the base does not depend on the volume of the water rather it depends on the height of the water column. But the weight of the water depends on its volume in the vessel.
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