Question #184955

Ice has a density of 0.92 g/cm³ and seawater has a density of 1.04 g/cm³. Determine the total volume of a floating iceberg if 30 m³ is above the seawater.


1
Expert's answer
2021-05-05T07:42:03-0400

Provided that the

Density of ice is =0.92g/m30.92 g/m^3

Density of sea water == 1.04g/cm31.04 g/cm^3

Volume of Ice berg above water =30m3or3.0×107cm3= 30 m^3 or 3.0 \times 10^7 cm^3

If v' is the volume of ice berg immersed in water


then as per the law of floatation = vV=densityoficedensityofseawater\frac{v'}{V} = \frac{density of ice }{density of sea water}

=vV=0.921.04=0.8846=\frac{v'}{V}= \frac{0.92}{1.04}= 0.8846



v' = 0.88361 V


Volume of the iceberg over the surface of sea water is obtained by:


V(1 - 0.8846) = 3.0×107cm33.0 \times 10^7 cm^3



V=3.0×107cm310.8846=2.59965×108cm3V = \frac{3.0 \times 10^7 cm^3}{1-0.8846} = 2.59965 \times 10^8 cm^3

V= 259.9653m3259.9653 m^3




 

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS