calculating volume by integration

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My question might seem silly but i want to calculate the volume of a $3D$ shape by integrating the function using the disk method , But the challenge is that I want to check my result physically by measuring the volume of water inside that shape. I still have two issues to solve , first I need an object that perfectly matches my function , say $y = \sqrt{x} $, from $x = 0$ to $x = 10.$ the second issue is how to make my integration intervals matches with the dimension of the object. Please help 1