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The formula for the volume of a cone is given by V = (1/3)Ï€r^2h, where r is the radius and h is the height.
Plugging in the given values, we have:
V = (1/3)(3.14)(13^2)(27)
V = (1/3)(3.14)(169)(27)
V = (1/3)(530.66)(27)
V = 1770.62 cubic inches
Rounding to the nearest hundredth, the volume of the cone is approximately 1770.62 cubic inches.