To determine whether the given statement is true or false, we need to calculate the volume of the cylindrical water bottle using the formula for the volume of a cylinder:
\[ V = \pi r^2 h \]
Where:
- \( V \) is the volume,
- \( r \) is the radius,
- \( h \) is the height.
Given:
- Height (\( h \)) = 16 inches,
- Radius (\( r \)) = 4 inches.
Plugging in the values:
\[ V = \pi (4)^2 (16) \] \[ = \pi (16)(16) \] \[ = \pi (256) \] \[ \approx 3.14159 \times 256 \approx 804.25 \text{ cubic inches} \]
The calculated volume is approximately 804.25 cubic inches, not 604.56 cubic inches.
Thus, the statement is false.
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