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ACE_99
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Homework Statement
Suppose a buoy is made of a sealed steel tube of mass 5 kg with a diameter D = 7 cm and a length of 6 meters. At the end of the buoy is a spherical weight of galvanized steel (specific gravity=7.85). If the buoy floats in fresh water, what must be the mass of the steel M at the bottom to make the distance h=195 cm?
Homework Equations
FB = W
F = [tex]\rho[/tex]gV
The Attempt at a Solution
I know that in order for this object to float the buoyant force must equal the mass of the submerged object. So
FB = Wcyl + Wsph = Wwater which is also
Vcyl[tex]\rho[/tex]sg +Vsph[tex]\rho[/tex]sg = Vwater[tex]\rho[/tex]g
This is where I get confused. In order to find the mass of the sphere I need to find its volume since I have the density, but how do I determine the volume of water displaced if I don't know the volume of the sphere. Hopefully my reasoning is correct. Any help would be great! I've also attached a copy of the picture provided.
http://i429.photobucket.com/albums/qq12/ACE_99_photo/ps-222-1-q6-1.jpg"
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