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The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.
Substitute r = 5 inches and h = 15 inches into the formula:
V = (1/3)(3.14)(5^2)(15)
V = (1/3)(3.14)(25)(15)
V = (0.33333)(3.14)(375)
V = 392.68 cubic inches
Therefore, the hanging flower vase can hold approximately 392.68 cubic inches of water.