To find the volume of the peanut butter jar, we can model it as a cylinder. The formula for the volume \( V \) of a cylinder is:
\[ V = \pi r^2 h \]
where \( r \) is the radius, \( h \) is the height, and \( \pi \) is approximately 3.14.
Given that the width (diameter) of the jar is 10 centimeters, the radius \( r \) is half of the diameter:
\[ r = \frac{10}{2} = 5 \text{ cm} \]
The height \( h \) of the jar is given as:
\[ h = 16 \text{ cm} \]
Now, we can substitute these values into the volume formula:
\[ V = 3.14 \times (5)^2 \times 16 \]
Calculating \( (5)^2 \):
\[ (5)^2 = 25 \]
Now substituting back into the formula:
\[ V = 3.14 \times 25 \times 16 \]
Calculating \( 25 \times 16 \):
\[ 25 \times 16 = 400 \]
Now substituting back again:
\[ V = 3.14 \times 400 \]
Calculating \( 3.14 \times 400 \):
\[ V = 1256 \]
Thus, the volume of the peanut butter jar is:
\[ \boxed{1,256 \text{ cubic centimeters}} \]
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