To find the volume of a cylinder (which is the shape of the water bottle), you 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,
- \( \pi \) is approximately 3.14.
Given:
- Height \( h = 16 \) inches,
- Radius \( r = 4 \) inches,
- \( \pi \approx 3.14 \).
Now, plug in the values into the formula:
\[ V = 3.14 \times (4^2) \times 16 \]
First, calculate \( 4^2 \):
\[ 4^2 = 16 \]
Now substitute this back into the volume formula:
\[ V = 3.14 \times 16 \times 16 \]
Next, calculate \( 16 \times 16 \):
\[ 16 \times 16 = 256 \]
Now substitute this value into the formula:
\[ V = 3.14 \times 256 \]
Now perform the multiplication:
\[ V = 803.84 \]
Therefore, the volume of the water bottle is approximately \( 803.84 \) cubic inches.