Following are some statements about buoyant force: (Liquid is of uniform density)
(i) Buoyant force depends upon the orientation of the concerned body inside the liquid.
(ii) Buoyant force depends upon the density of the body immersed.
(iii) Buoyant force depends on the fact whether the system is on the moon or on the earth.
(iv) Buoyant force depends upon the depth at which the body (fully immersed in the liquid) is placed inside the liquid. Of these statements:

One end of light inelastic string is tied to a helium filled balloon and its other end is tied to bottom of a water filled container at point $O.$ The container lies on a fixed horizontal surface and is pulled horizontally towards right with constant horizontal acceleration of magnitude $a$.  Assuming no relative motion of balloon and water with respect to container, the string will be inclined with vertical line passing through $O$ by an angle. ($g$ is acceleration due to gravity)

Figure shows a closed container completely filled with an ideal liquid of density $\rho$. In the liquid there is a spherical body of volume $V$ and density $\sigma$ attached to a string whose other end is attached to the roof of the container. The container is accelerating with an acceleration '$a$' towards right. The magnitude of force exerted by the liquid on the spherical body when it is in equilibrium with respect to the liquid, will be