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The volume of a cylinder is given by the formula V = ฯ * r^2 * h, where r is the radius and h is the height.
In this case, the radius is 4 inches and the height is 16 inches.
Substituting these values into the formula, we get:
V = ฯ * 4^2 * 16
V = 3.14 * 16 * 16
V = 3.14 * 256
V = 804.64
The volume of the water bottle is approximately 804.64 cubic inches.