Question

is equal water displaced when two bodies of same mass same material but different shapes are immersed in water.... with proof

Answer 1

Answer:

That all depends upon their density (i.e., their weight, since their dimensions are identical). If they both weigh more than the weight of an existing volume of water, they would both sink, and displace an identical amount of water, because they cannot displace any more than that.

But if one or both float, they would only displace the amount of water that is equal to the equivalent volume of water that weighs the same as the object does.