To what height should a rectangular cylinder having square base of length 10 cm be filled, so that the total force on the bottom is equal to that on the sides ?

Step-by-step solution

If h is the height of liquid column in cylinder and I is the length of each side of base. Then aligned & F_B=(h g)(I l)=h g l^2 & F_S= ( h g 2 )(4 I h)=2 h^2 g l aligned h g l^2=2 h^2 g l or h= 1 2 = 10 2 =5 ~cm