What should be the height 'h' to which a cylinderical vessel be filled by an isotropic liquid so that the force on its sides is equal to the force acting on its botom ? (r = radius) :

What should be the height 'h' to which a cylinderical vessel be filled

1.	What should be the height 'h' to which a cylinderical vessel be filled by an isotropic liquid so that the force on its sides is equal to the force acting on its botom ? (r = radius) :
Answer» h=r `h=r^(2)` `h=2r` `h=r//2` Solution :Average PRESSURE on side`=(hdg)/2`,AREA or side `=2pirh`.Force on side=`(hdg)/2xx2pirh=pirh^(2)dg,` Force on BOTTOM= hdg `xxpir^(2)thereforepirh^(2)dg=pir^(2)hdg` or `r=h` Correct CHOICE is (a).

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What should be the height 'h' to which a cylinderical vessel be filled by an isotropic liquid so that the force on its sides is equal to the force acting on its botom ? (r = radius) :

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