To find the volume of the peanut butter jar, we can treat it as a cylinder. 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,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
First, we need to find the radius. The width of the jar is given as 10 centimeters, which is the diameter. The radius \( r \) is half of the diameter:
\[ r = \frac{10 \text{ cm}}{2} = 5 \text{ cm} \]
Now, we can plug the values into the volume formula. The height \( h \) is 16 cm:
\[ V = 3.14 \times (5 \text{ cm})^2 \times 16 \text{ cm} \]
Calculating \( (5 \text{ cm})^2 \):
\[ (5 \text{ cm})^2 = 25 \text{ cm}^2 \]
Now substituting back into the volume equation:
\[ V = 3.14 \times 25 \text{ cm}^2 \times 16 \text{ cm} \] \[ V = 3.14 \times 25 \times 16 \]
Calculating \( 25 \times 16 \):
\[ 25 \times 16 = 400 \]
Now substituting this back:
\[ V = 3.14 \times 400 \] \[ V = 1256 \text{ cubic centimeters} \]
So the volume of the peanut butter jar is 1,256 cubic centimeters.