﻿ A cylinder has a radius r. To what height h should it be filled with water so that the thrust on its walls is equal to that on its bottom?   : Kaysons Education

# A Cylinder Has A Radius r. To What Height h should It Be Filled With Water So That The Thrust On Its Walls Is Equal To That On Its Bottom?

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## Question

### Solution

Correct option is

h = r

If  is the density of water, pressure p due to height h is

Now, area of the base . Therefore, thrust at the bottom is

Pressure p also acts on the wall. The average pressure on the wall . Surface area of wall up to . Therefore, thrust on the walls is

Now,

Gives,

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