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Use the model given to answer the questions about the object or process being modeled.

The portion of a floating iceberg that is below the water surface is much larger than the portion above the surface. The total volume $V$ of an iceberg is modeled by

$$

V=9.5 S

$$

where $S$ is the volume showing above the surface.

a. Find the total volume of an iceberg if the volume showing above the surface is $4 \mathrm{km}^{3}$.

b. Find the volume showing above the surface for an iceberg with total volume $19 \mathrm{km}^{3}$.

(a) $38 \mathrm{km}^{3}$

(b) $2 \mathrm{km}^{3}$

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