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A hose is used to fill a large container with water, where the dimensions of the container are $50\text{ cm} \times 1\text{ m} \times 2\text{ m}$. Water exits the hose at $10\text{ m/s}$, and it takes $100\text{ s}$ to fill the container.

What is the cross-sectional area of the hose?

A

$0.001 \text{ m}^{ 2 }$

B

$0.01 \text{ m}^{ 2 }$

C

$0.1 \text{ m}^{ 2 }$

D

$1 \text{ m}^{ 2 }$

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