Discussion
Consider the following statements :
(i) Density of Ball A = 13600 kg/m3.
(ii) Density of Ball B = 7800 kg/m3.
(iii) Ball A is heavier than Ball B.
(iv) Volume of Ball A is identical to that of Ball B.
If Balls A and B are submerged into two identical containers containing water, which of the following would hold true ?
Answer: A
Both balls displace the same amount of water.
A fully submerged object pushes aside a volume of water equal to its own volume. Statement (iv) says the two balls have identical volumes, so they displace equal amounts of water.
The densities and the fact that A is heavier only tell us how much each ball weighs; with A's density of 13600 kg/m3 and B's 7800 kg/m3, both are denser than water and sink, so both are fully submerged. Weight does not change the volume displaced, and every submerged object displaces some water.
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