A party hat is shaped like a cone. The dimensions of the party hat are shown in the diagram. Which measurement is closest to the volume of the party hat in cubic inches? Responses A 75.4 in.³75.4 in.³ B 301.6 in.³301.6 in.³ C 402.1 in.³402.1 in.³ D 100.5 in.³100.5 in.³
To find the volume of a cone, we use the formula V = (1/3)πr^2h, where r is the radius and h is the height of the cone.
In the diagram, the radius is 3 inches and the height is 8 inches.
Plugging these values into the formula, we get V = (1/3) * π * (3^2) * 8 = (1/3) * π * 9 * 8 = 24π ≈ 75.4 in.³
Therefore, the measurement closest to the volume of the party hat is 75.4 in.³, which corresponds to response A.