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Darth Frodo
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Homework Statement
A hollow spherical shell of external diameter of 1 metre and uniform thickness of 0.2m floats in a liquid with half its volume immersed. If the relative density is 1.5 find t 2 decimal places the relative density of the material of the shell.
Homework Equations
Buoyancy = Vρg = Weight
The Attempt at a Solution
Relative density of liquid = 1.5
Density of liquid = 1500
Since it floats Buoyancy = Weight
Vρg = Vρg
( [itex]\frac{2}{3}[/itex][itex]\pi[/itex] ) (1500g) = [ [itex]\frac{4}{3}[/itex] [itex]\pi[/itex] - [itex]\frac{4}{3}[/itex] [itex]\pi[/itex] (0.8[itex]^{3}[/itex]) ) ] Xg
1000[itex]\pi[/itex] g = [itex]\frac{244}{375}[/itex] [itex]\pi[/itex] Xg
1000 = [itex]\frac{244}{375}[/itex] X
X = 1536.8
Therefore relative density = 1.5
Answer = 0.96