To find the volume of a cylindrical water bottle, we can use the formula:
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height, and
- \( \pi \) is approximately 3.14.
Given:
- \( r = 2 \) inches,
- \( h = 10 \) inches.
Now, we can substitute the values into the formula:
\[ V = 3.14 \times (2)^2 \times 10 \]
Calculating \( (2)^2 \):
\[ (2)^2 = 4 \]
Now substitute this back into the volume formula:
\[ V = 3.14 \times 4 \times 10 \]
Now multiply \( 3.14 \times 4 \):
\[ 3.14 \times 4 = 12.56 \]
Finally, multiply by \( 10 \):
\[ V = 12.56 \times 10 = 125.6 \]
Therefore, the volume of Gabriella’s water bottle is 125.6 in³.
The correct response is 125.6 in³.