8) Upthrust = Reduction is weight x g = (25.95 - (71.36-50))g=4.59g=44.982 N
9) Volume of solid = Upthrust/ Density of Water = 44.982/1000g=0.00459 m^3
density = m/V=25.95/0.00459=5653.59 kg/m^3
10) .Avg Density = Density of Gold x (Total Volume - Hollow Volume)/Total Volume (Neglecting the density of hollow space)
Hollow Volume= (1-(Avg Density/Density of Gold))x Total VOlume= 0.00324 m^3
Someone tries to sell you a solid but irregularly shaped lump of gold, but you are...
LEARN MORE REMARKS Because the density of gold Is 1.93 x 104 kg/m", the crown is elther hollow, made of an alloy, or both. Despite the mathematical complexity, it is certainly conceivable that this was the method that occurred to Archimedes. Conceptually, it's a matter of realizing (or guessing) that equal weights of gold and a silver-gold alloy would have different scale readings when immersed in water because their densities and hence their volumes are different, leading to differing buoyant...