Answer: The volume of a cone-shaped cup can be calculated using the formula V = (1/3)πr^2h, where r is the radius of the base, h is the height, and π is approximately 3.14.Substituting the given values, the volume of one cup is:
V = (1/3) x 3.14 x (12/2)^2 x 10
V = 1256.64 cubic cm
To find the number of cups that can be filled from the water cooler, we need to divide the total volume of water in the cooler (16,956 cubic cm) by the volume of one cup (1256.64 cubic cm):
Number of cups = 16,956 / 1256.64
Number of cups = 13.5 cups
Since we cannot have half a cup, we can only fill 13 cups from the water cooler.