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The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius of the base and h is the height.
Given that the width of the jar is 10 cm, the radius (r) would be half of that, which is 5 cm.
Plugging in the values, we get:
V = 3.14 * (5)^2 * 16
V = 3.14 * 25 * 16
V = 3.14 * 400
V = 1256 cubic centimeters
Therefore, the correct answer is 1,256 cubic centimeters.