Specific grav

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A ship passes an iceberg in the Atlantic Ocean. Only 30 m3 of the iceberg is visible above the ocean water. If the specific gravity (SG) of the Atlantic is 1.020, and that of ice is 0.920, what is the total volume of the iceberg?

A) 270 m3
B) 300 m3
C) 330 m3
D)360 m3

ANSWER: B

WHY NOT A?

 

[pfaction]

Floating:

Vsub/V = pobj/pliq
0.920/1.020 = vsub/volobject [ratio]
.920/1.020 is roughly 90% submerged to object ratio
if 30m3 is seen, then 90% is submerged, so 30 is 10% floating, so the total is 300?

 

[deleted103644]

A ship passes an iceberg in the Atlantic Ocean. Only 30 m3 of the iceberg is visible above the ocean water. If the specific gravity (SG) of the Atlantic is 1.020, and that of ice is 0.920, what is the total volume of the iceberg?

A) 270 m3
B) 300 m3
C) 330 m3
D)360 m3

ANSWER: B

WHY NOT A?

(x + 30) * 0.92 = x * 1.02

Answer is x + 30 = 306

 

[bajoneswadup]

ty.