To find the volume \( V \) of a cylindrical water bottle, we can use the formula:
\[ V = \pi r^2 h \]
where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- \( r = 2 \) inches,
- \( h = 10 \) inches,
- \( \pi \approx 3.14 \).
Now, plugging in the values:
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Calculate \( r^2 \): \[ r^2 = 2^2 = 4 \]
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Now, substitute the values into the volume formula: \[ V = 3.14 \times 4 \times 10 \]
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Calculate \( 3.14 \times 4 \): \[ 3.14 \times 4 = 12.56 \]
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Now multiply by the height \( h \): \[ V = 12.56 \times 10 = 125.6 \]
Thus, the volume of Gabriella’s water bottle is:
\[ \boxed{125.6 \text{ in}^3} \]