Final answer:
To find the volume of each paper cup, use the formula for the volume of a cone. Multiply the volume of one cup by the number of cups to find the total volume of water needed. The correct answer is (d) 5640
Step-by-step explanation:
To find the volume of each paper cup shaped like a cone, we use the formula for the volume of a cone: V = 1/3 * π * r² * h. In this case, the height (h) is 8 cm and the radius (r) is 3 cm. Substituting these values into the formula, we get V = 1/3 * 3.14 * 3² * 8 = 75.36 cm³.
Since there are 225 cups, we multiply the volume of one cup by 225: 75.36 cm³ * 225 = 16992 cm³.
Therefore, the water needed to fill 225 paper cups shaped like cones is 16992 cm³. The correct answer is (d) 5640 cm³.