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Determining if a Copper Bowl Will Float

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A hemispherical copper bowl with an outer diameter of 10cm and wall thickness 1mm is placed in
a large bath of water. Will it float? (See attachment for diagram.)

If it does float, how far will the base of the bowl sink beneath the water surface?

Note: Density of copper 8960 kgm-3

Finally, perform a 'back of the envelope' calculation to demonstrate that your answer is
correct.

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Solution Summary

The solution provides a quick, clear answer to determining if the copper bowl described in the question would float on water, and how much it will sink in if it does. There is also an attachment holding the 'back-of-the-envelope' calculations requested.

Solution Preview

Hi there. See the attached file for the calculations.

Yes, it's easy to show that the bowl ...

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