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) :

Options

A. h=r
B. `h=r^(2)`
C. `h=2r`
D. `h=r//2`

Answer

A

Explanation

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).