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A solid cylinder of length 10cm is placed in water . It stands upright with the top 3cm protruding above the waters surface . The density of water is 1.0g/cm 3 . What is the density of the cylinder ?

A solid cylinder of length 10cm is placed in water . It stands upright with the top 3cm protruding above the waters surface . The density of water is 1.0g/cm3 .  
What is the density of the cylinder ?

Grade:9

1 Answers

Arun
25750 Points
6 years ago
Use Archimedes' Principle
Equate the mass of the cylinder to the mass of the water displaced by 
the cylinder.
Mass = volume x density. 
For the cylinder, volume = 
(cross-sectional area) x length. 
For the water, volume = 
(cross-sectional area)x7. 
The cross-sectional area cancels out and we 
can easily calculate the density of the cylinder. The density is 0.7 
g/cm3.

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