Q.

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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a

h = 2r

b

h = r

c

h = (r/2)

d

h = (r/4)

answer is B.

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Detailed Solution

ρghπr2=∫0h (2πrdh)ρgh ρghπr2=2πrρgh22 r=2h2 r=h
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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