Why does an ice cube melting not change water level but an anchor does?

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yc716
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1. When the ice cube melts, will the water level rise, stay the same or fall? and why?

2. What happens to the height of pond when ancor thrown overboard rise, stay same or fall? Why?

I know that for the first question it's stay the same and for the 2nd question, it's fall; but i don't know why. Can someone help me out please?
Thank you.
 
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HINT: How much liquid water is displaced in either situation?