To find the volume of a cylinder (which is the shape of a typical water bottle), you can use the formula:
\[ V = \pi r^2 h \]
where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.
Given:
- Height (\( h \)) = 16 inches
- Radius (\( r \)) = 4 inches
- Pi (\( \pi \)) = 3.14
Now, substitute the values into the formula:
\[ V = 3.14 \times (4)^2 \times 16 \]
First, calculate \( (4)^2 \):
\[ (4)^2 = 16 \]
Now, plug that back into the formula:
\[ V = 3.14 \times 16 \times 16 \]
Calculate \( 16 \times 16 \):
\[ 16 \times 16 = 256 \]
Now, multiply by 3.14:
\[ V = 3.14 \times 256 \]
Calculating that gives:
\[ V = 803.84 \]
Thus, the volume of the water bottle is approximately 803.84 cubic inches.