A party hat is shaped like a cone. The dimensions of the party hat are shown in the diagram.

the legs are 8 and 6 in

Which measurement is closest to the volume of the party hat in cubic inches?

1 answer

To find the volume of a cone, you can use the formula V=1/3πr^2h, where r is the radius of the base of the cone and h is the height of the cone.

In this case, the radius of the base of the cone is half of the larger leg of the triangle, so it is 8/2 = 4 inches. The height of the cone is the smaller leg of the triangle, which is 6 inches.

Plugging these values into the formula, we get:
V = 1/3 * π * 4^2 * 6
V = 1/3 * π * 16 * 6
V = 1/3 * π * 96
V ≈ 100.53 cubic inches

Therefore, the measurement closest to the volume of the party hat in cubic inches is 100 cubic inches.
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