Two vessels have the same base area but differnent shapes. The first vessel takes twice the vloume of water that the second vessel requires to fill up to a paricular common height . Is the force exerted by water on the base of the vessel the same in the two case? If so, why do the vessels filled with water to that same height give different reading on a weighting scale ?

Explanation

To solve the problem, we need to analyze the situation step by step.

### Step 1: Understand the Setup
We have two vessels with the same base area but different shapes. The first vessel has a volume of water that is twice that of the second vessel when both are filled to the same height.

### Step 2: Determine the Pressure at the Base
The pressure exerted by a liquid at the base of a vessel is given by the formula:
\[ P = \rho g h \]
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