To determine whether the statement is true or false, we can use 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:
- Radius \( r = 4 \) inches,
- Height \( h = 16 \) inches.
Now we can calculate the volume:
\[ V = \pi (4)^2 (16) \] \[ = \pi (16)(16) \] \[ = 256\pi \]
Next, we can compute \( 256\pi \) using an approximate value of \( \pi \approx 3.14 \):
\[ V \approx 256 \times 3.14 \approx 804.16 \text{ cubic inches} \]
Since the calculated volume is approximately \( 804.16 \) cubic inches and not \( 604.56 \) cubic inches,
the statement is false.
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