A hollow sphere of volume V is floating on water surface with half immersed in it. What should be the minimum volume of water poured inside the sphere so that the sphere now sinks into the water ?

Step-by-step solution

When a body (sphere) is half immersed, then Upthrust = weight of sphere V 2 _ liq g= g = _ liq 2 When body (sphere) is fully immersed then, Upthrust = weight of sphere + weight of water pourd in sphere V _ liq g=V g+V^ _ liq gV _ liq = v _ liq 2 +V^ _ liq V^ = V 2