To find the volume of a jar that is shaped like a cylinder, you can use the formula for the volume of a cylinder:
\[ V = \pi r^2 h \]
where:
- \( V \) is the volume,
- \( r \) is the radius of the base,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- Height (\( h \)) = 16 cm
- Width = 10 cm, which means the diameter is 10 cm. Therefore, the radius (\( r \)) is:
\[ r = \frac{\text{diameter}}{2} = \frac{10}{2} = 5 \text{ cm} \]
Now we can plug the values into the volume formula:
\[ V = 3.14 \times (5)^2 \times 16 \]
Calculating \( (5)^2 \):
\[ (5)^2 = 25 \]
Now substituting that back into the volume formula:
\[ V = 3.14 \times 25 \times 16 \]
Calculating \( 25 \times 16 \):
\[ 25 \times 16 = 400 \]
Now substituting this result back into the volume calculation:
\[ V = 3.14 \times 400 \]
Finally, calculating this:
\[ V = 1256 \text{ cm}^3 \]
Thus, the volume of the peanut butter jar is 1256 cm³.
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