Question

An iceberg of volume 60m³ is floating on the water .The density of iceberg is 900 kg/m³ . Calculate the volume of water displaced by the iceberg and also find the fraction of iceberg in air.

Answer 1

Answer:

V

sub

= volume of iceberg submerged

ρ

b

= density of iceberg = 900 Kg/m3

ρ

w

= density of water = 1000 Kg/m3

So, for the flotation of body,

weight of body= weight of water displaced

⇒ρ

b

V=ρ

w

V

sub

⇒

V

V

sub

=

ρ

w

ρ

b

substracting both side from 1, we get

⇒1−

V

V

sub

=1−

ρ

w

ρ

b

⇒

V

V−V

sub

=

ρ

w

ρ

w

−ρ

b

Converting it in percentage,

⇒

V

V−V

sub

×100=

ρ

w

ρ

w

−ρ

b

×100

by substituting values, we get

percentage volume outside the water=

1000

1000−900

×100=10%