Solve for Mass and Density of a Floating Cylinder in Fresh Water

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To determine the mass of a solid cylinder floating in fresh water, the area is calculated as 0.262 m², leading to a mass of 131 kg using the formula mg = pgha. The depth of the cylinder submerged is 500 mm, which is crucial for calculating buoyancy. For the density, the mass can be divided by the volume of the cylinder, but the user is struggling with this calculation. The final density can be derived from the known mass and the cylinder's volume.
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Homework Statement


A solid cylinder 350mm in diametre and of total length 750mm floats upright in fresh water to a depth of 500mm determine (a) the mass of the cylinder.(b)the density of the material in the cylinder.


Homework Equations


mg=pgha


The Attempt at a Solution



area= lxd = 0.75x0.35=0.262m

m=pfa as the gravity cancels out m = 1000x0.5x0.262=131kg


it is question b i am struggling with as i have tried rearranging the formula for annother question which i have the answers for and i cannot get the same answer please help!
 
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since you have the mass of the cylinder.. density is simply mass divided by the volume..
 
thanks very much mark
 
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