Question

To what height should a cylindrical vessel be filled with a homogeneous 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

The correct answer is (A). The height to which a cylindrical vessel should be filled with a homogeneous liquid to make the forces equal on the sides and bottom of the vessel is 'equal to the radius'.

Step-by-step explanation:

The height to which a cylindrical vessel should be filled with a homogeneous 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 is equal to the radius. When a cylindrical vessel is completely filled, the volume of the liquid that it displaces, as well as the volume of the liquid inside the vessel itself, is directly proportional to the height of the liquid. Therefore, for the forces to be equal, the height of the liquid should be equal to the radius of the vessel.

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