What Is the Volume of the Secret Cavity in the Brass Sculpture?

AI Thread Summary
The discussion revolves around calculating the volume of a secret cavity in a brass sculpture, given its weight in air and water. The weight difference when submerged indicates a buoyant force of 1.9 N, which can be used to determine the volume of the cavity using Archimedes' principle. The density of brass is noted as 8470 kg/m³, and the assumption is made that the cavity likely contains air. The conversation highlights the importance of understanding the contents of the cavity to accurately solve the problem. Ultimately, the calculation hinges on the relationship between buoyancy and volume displacement.
skonstanty
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:confused: A small sculpture made of brass (density = 8470 kg/m cubed) is believed to have a secret central cavity. The weight of the sculpture in air is 15.76N. When it is submerged in water, the weight is 13.86 N. What is the volume of the secret cavity?
 
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What exactly have you tried so far?
 
I have just now started
 
What property of the sculpture can you determine directly from the given data ?
 
I am assuming I have to find the amount of displacement -- 15.76 - 13.86 = 1.9
 
Oh, the density is = 8470
 
Recall Archimedis ?
 
Fb= bouyant force = F2 - F1 = mg
 
What's in the secret cavity? Air, hydrogen, nothing, or maybe the other extreme, something just a bit lighter than water, like gasoline? This has to be known in order to answer the question.
 
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If it went from being filled with air directly to being submerged in water, I'd imagine what's in the cavity is air.

Not to mention that it'd be a ridiculous question if one couldn't assume such.

--Justin
 
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