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What fraction of the volume of an ice berg is visible above ocean water ? (density of ice =917) (density of water =1025)

Answer 1

Nora Arzate

#0.105#

According to Archimedes principle,

Weight of iceberg = Bouyant Force

#"m"_i cancel"g" = "m"_w cancel"g"#

Here

#"V"_i "d"_i = "V"_w "d"_w color(white)(..)[∵ "Mass = Volume × Density"]#

Volume of water displaced (#"V"_w#) = Volume of iceberg inside the water

Volume of water displaced (#"V"_w#) = Volume of iceberg (#"V"_i#) - Volume of iceberg visible (#"V"#)

#"V"_i "d"_i = ("V"_i - "V") "d"_w#

#"V"_i "d"_i = "V"_i "d"_w - "V" "d"_w#

#"V"/"V"_i = ("d"_w - "d"_i)/"d"_w = ("1025 kg/m"^3 - "917 kg/m"^3)/("1025 kg/m"^3) = color(blue)(0.105)#

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.