Question

To what height should a cylinderical vessel be filled with a homegeneous liquid to make the force with which the liquid pressure on the sides of the vessel equal to the force exerted by the liquid on the bottom of the vessel ?

• A. Equal to the radius
• B. Less than radius
• C. More than radius
• D. Four times of radius

Answer 1

Answer: (A)

Equal to the radius

Answer 2

Let h be the desired height of liquid in cylinder for which the force on the bottom and sides of the vessel is equal

Force on bottom

Force on walls of vessel =

According to the question

Or R =