Answer :

No, if you're talking about a real elephant. If the elephant is a hollow, plastic toy, it would float. A real elephant would sink because it does not have enough buoyancy/density.And it is really heavy...
It depends on the density; For example, in the Dead Sea, a human can float on the water because of the high concentration of salt. A penny dropped in a glass of tap water will sink, since it is denser than the water. Unless, of course, this is a riddle; in which case the elephant could be held on a boat whereas the penny is simply dropped in the water. 

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