Q.

An ice berg of density 900 Kg/m3 is floating in water of density 1000 Kg/m3. The percentage of volume of ice-cube outside the water is

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a

20%

b

35%

c

10%

d

25%

answer is C.

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Detailed Solution

Let the total volume of ice-berg is V and its density is ρ. If this ice-berg floats in water with volume Vin  inside it then Vinσg=Vρg⇒Vin=ρσV or Vout =V−Vin=σ−ρσV⇒Vout V=σ−ρσ=1000−9001000=110∴Vout =10% of V
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An ice berg of density 900 Kg/m3 is floating in water of density 1000 Kg/m3. The percentage of volume of ice-cube outside the water is