To find out how many cups can be filled from the cooler, we need to calculate the volume of each cup and then divide the total volume of water in the cooler by the volume of one cup. The volume of a cone-shaped cup can be calculated using the formula V = (1/3)πr²h, where V is the volume, r is the radius of the base, and h is the height. First, let's find the radius of the base. The diameter of the base is given as 9 cm, so the radius is half of that, which is 9/2 = 4.5 cm. Next, we'll calculate the volume of one cup. Plugging in the values, we get: V = (1/3)π(4.5 cm)²(10 cm) = (1/3)π(20.25 cm²)(10 cm) ≈ 676.39 cm³ Now, we divide the total volume of water in the cooler, which is given as 16956 cm³, by the volume of one cup: 16956 cm³ ÷ 676.39 cm³ ≈ 25.04 cups Since we can't have a fraction of a cup, we need to round down to the nearest whole number. Therefore, we can fill 25 cups from the cooler.
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