To find the volume of a cylindrical jar, you can use the formula:
\[ V = \pi r^2 h \]
where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.
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The width of the jar is given as 10 centimeters, which means the diameter is 10 cm. The radius \( r \) is half of the diameter: \[ r = \frac{10}{2} = 5 \text{ cm} \]
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The height \( h \) of the jar is given as 16 centimeters.
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Now, substituting the values into the volume formula: \[ V = 3.14 \times (5)^2 \times 16 \]
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Calculate the radius squared: \[ (5)^2 = 25 \]
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Now substitute this back into the volume equation: \[ V = 3.14 \times 25 \times 16 \]
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First calculate \( 25 \times 16 \): \[ 25 \times 16 = 400 \]
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Now, multiply by \( \pi \): \[ V = 3.14 \times 400 \]
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Finally, calculate the volume: \[ V = 1,256 \text{ cubic centimeters} \]
Thus, the volume of the peanut butter jar is 1,256 cubic centimeters.