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Finding the inner diameter of a shell - Interesting Problem

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A hollow spherical iron shell floats almost completely submerged in water. The outer diameter is 54.0 cm, and the density of iron is 7.87 g/cm3. Find the inner diameter.

I have no clue how to start or solve this problem. Thanks for the help!

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https://brainmass.com/physics/mathematical-physics/finding-the-inner-diameter-of-a-shell-40100

Solution Preview

An object will float in the water if its mass is less than the mass of the water.

Since it floats but almost completely submerged in water, the mass of the shell is equal to the mass of the water displaced by ...

Solution Summary

The problem is solved giving all necessary mathematical steps. It will enable you to do similar problems yourself.

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