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The formula for the volume of a cone is V = (1/3)πr^2h.
Given that the radius (r) is 5 inches and the height (h) is 15 inches, we can substitute these values into the formula:
V = (1/3)(3.14)(5^2)(15)
= (1/3)(3.14)(25)(15)
= (3.14)(375)
= 1,177.5 cubic inches
Therefore, the hanging flower vase can hold 1,177.5 cubic inches of water.