Chicken noodle soup

Geometry Level pending

My mom just finished making my favorite chicken noodle soup, but my sister and I arrived late and found only one bowl left. We decided that we would split the soup evenly by pouring out half into a separate, identical bowl. To what height in cm above the table does my soup now go up to? Give your answer to 3 decimal places.

You can assume that my bowl is a half-sphere with a radius of 5 cm and that originally, the bowl was completely filled.

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