Answering Buoyancy Questions: Are My Answers Correct?

[nickname]

I have answered the following questions, but I will like to know if my answers are correct. Any help will be appreciate it.

1) one ice cube is placed in a glass of water. When the ice cube melts, does the water level rise, fall or stay the same.
my answer: the water level rises.

2) a person is sitting in a boat in a small pond. They throw an anchor overboard so that the anchor sinks to the bottom of the pond. Does the water level in pond rise, fall, or stay the same.
My answer: water level rises

3) Carefully explain your answer to the previous questions:
For question 1: the ice melt and becomes liquid water so there is a greater volume of water (water level rises)

For question 2: Using the buoyancy force as description, an object will sink if it has a higher density than the surrounding fluid, so that its weight is larger than the buoyant force. The anchor is going down and the water level is pushed up.


Are my answers correct?

Thank you and happy holidays!

 

[Jobrag]

No I'm afraid that you are wrong in both cases.
Remember that a FLOATING object displaces it's own mass of water.
As the ice cube melts the amount of water it displaces will reduce, by the amount of water it produces.
For the boat question imagine that the anchor is hung over the side of the boat and then released, what happens to the boat when it is no longer supporting the mass of the anchor?