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100ml of water will fill 100cm^3

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Q: What is the volume of 100 milliliters of water?
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What do you think the lemon float on water?

I know why a lemon floats on water: the weight of a lemon is less than that of an equal volume of water. Let's throw some numbers out here, although they're ones I just made up to show you what's happening: 100 milliliters of water weighs 100 grams. The lemon you have has a total volume of 120 milliliters, but it weighs 100 grams. When you put the lemon in the water, it will displace 100 milliliters of water, gaining equilibrium. Since the lemon's volume is 120 milliliters, 20 milliliters of it are going to be out of the water. In other words, it will float. If the weight of the lemon was 100 grams and the lemon's volume was 100 milliliters, the whole lemon would be underwater since the displacement and the weight would be the same. And if the weight was 120 grams but the volume 100 milliliters, the lemon would sink since the water wouldn't be able to support the weight of the lemon.


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