To find the volume of the peanut butter jar, we can assume it is a cylinder, given that the dimensions provided are height and width (diameter). The formula for the volume \( V \) of a cylinder is:
\[ V = \pi r^2 h \]
Where:
- \( \pi \) is a constant (3.14),
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder.
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Calculate the radius: The width of the jar is given as 10 cm, which is the diameter. Therefore, the radius \( r \) is half the diameter: \[ r = \frac{\text{diameter}}{2} = \frac{10}{2} = 5 , \text{cm} \]
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Use the dimensions in the volume formula: The height \( h \) of the jar is 16 cm.
Now plug the values into the formula: \[ V = 3.14 \times (5)^2 \times 16 \]
Calculate \( (5)^2 \): \[ (5)^2 = 25 \]
Now substitute back: \[ V = 3.14 \times 25 \times 16 \]
Calculate \( 25 \times 16 \): \[ 25 \times 16 = 400 \]
Now substitute: \[ V = 3.14 \times 400 \]
Finally, calculate \( 3.14 \times 400 \): \[ V = 1256 , \text{cubic centimeters} \]
Thus, the volume of the peanut butter jar is 1,256 cubic centimeters.