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Chapter 2: Problem 133

An iceberg (specific gravity 0.917 ) floats in he ocean (specific gravity 1.025 ). What percent of the volume of the iceberg is under water?

Short Answer

Expert verified
Approximately 89% of the iceberg's volume is submerged under the water.

Step by step solution

01

Understanding the specific gravity

Abstractly speaking the specific gravity of a substance is the ratio of the density of the substance to the density of a reference substance (usually water). So the specific gravity of the iceberg is 0.917 and that of the ocean is 1.025.
02

Calculating the volume percentage

We need to find the ratio of the specific gravity of the iceberg to the specific gravity of the ocean, and then multiply it by 100 to convert it to a percentage. Therefore, the percentage of the iceberg submerged can be given as: \[ \frac{{\text{{specific gravity of iceberg}}}}{{\text{{specific gravity of ocean}}}} \times 100= \frac{{0.917}}{{1.025}} \times 100 \]
03

Doing the math

We perform the calculation and round to the nearest whole number for the percentage. The result is approximately 89%. This means that about 89% of the iceberg's volume is submerged under the water.

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