To find the volume of a jar of peanut butter, we can model the jar 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 of the cylinder, \( h \) is the height, and \( \pi \) is approximately 3.14.
Given:
- Height \( h = 16 \) cm
- Width (diameter) = 10 cm, therefore the radius \( r \) is half of that:
\[ r = \frac{10}{2} = 5 \text{ cm} \]
Now, we can substitute the values into the volume formula:
\[ V = 3.14 \times (5)^2 \times 16 \] \[ V = 3.14 \times 25 \times 16 \] \[ V = 3.14 \times 400 \] \[ V = 1256 \text{ cm}^3 \]
Thus, the volume of the jar is \( 1256 , \text{cm}^3 \).