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Volume exapnsion question 
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#1
Jan613, 03:04 AM

P: 339

Let's say you have two bodies which are made of the same material and have the same external dimensions and appearance, but one is solid and the other is hollow. You increase their temperature, now is the overall volume expansion the same or different?
What do you think? 


#2
Jan613, 04:24 AM

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hi failexam!
tell us what you think, and then we'll comment! 


#3
Jan813, 11:26 AM

P: 339

The two bodies are made of the same material, so they must have the coefficients of volume expansion. Also, they have the same external dimensions.
But, one body is solid and the other is hollow. So, the solid body has greater volume than the hollow body. Volume expansion depends on the coefficient of volume expansion, initial volume and external dimensions, so the solid body will expand more than the hollow body. What do you think? 


#4
Jan813, 12:09 PM

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Volume exapnsion question
but does that necessarily mean that a solid body will expand to a bigger diameter than the originallysamediameter body? what do you think happens to the hole? 


#5
Jan1013, 07:39 AM

P: 125

(as an aside, wouldn't that have to be 26 cubes? Nine on "top", nine on "bottom", and 8 between them? Basically it should be the number of cubes visible on the exterior of a Rubiks cube)
Anyway, my feeling is that the hollow and solid objects should expand the same amountat least in appearances, from the outside. 


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