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To find the volume of a cylinder, you can use the formula V = πr²h, where V is the volume, π is a constant approximately equal to 3.14, r is the radius, and h is the height of the cylinder. However, since the problem only gives the width of the jar, we need to find the radius first.
The radius of the jar can be found by dividing the width by 2. So, the radius is 10/2 = 5 centimeters.
Now, we can plug in the values into the formula:
V = π(5)²(16)
V = 3.14(25)(16)
V = 3.14(400)
V = 1,256 cubic centimeters
Therefore, the correct answer is 1,256 cubic centimeters.