To find the volume of the peanut butter jar, we first need to determine if the jar is modeled as a cylinder, which is a common assumption for jars.
The formula for the volume \( V \) of a cylinder is given by:
\[ V = \pi r^2 h \]
where:
- \( r \) is the radius of the base of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.14.
Given:
- Height (\( h \)) = 16 cm
- Width = 10 cm, so the radius (\( r \)) = width / 2 = 10 cm / 2 = 5 cm.
Now we can substitute the values into the volume formula:
\[ V = 3.14 \times (5)^2 \times 16 \]
Calculating \( (5)^2 \):
\[ (5)^2 = 25 \]
Now substituting back into the volume formula:
\[ V = 3.14 \times 25 \times 16 \]
Calculating \( 25 \times 16 \):
\[ 25 \times 16 = 400 \]
Now substituting this back into the formula:
\[ V = 3.14 \times 400 \]
Calculating \( 3.14 \times 400 \):
\[ V = 1256 \]
Thus, the volume of the peanut butter jar is 1,256 cubic centimeters. Therefore, the correct response is:
1,256 cubic centimeters.