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First, we need to find the radius of the cylinder. The radius is half of the diameter, so the radius is 16 / 2 = 8 inches.
Next, we can use the formula for the volume of a cylinder:
V = πr^2h
Plugging in the values:
V = 3.14 * 8^2 * 7
V = 3.14 * 64 * 7
V = 1406.08 cubic inches
Therefore, the volume of the cylinder is 1406.08 cubic inches.