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

Height: 8 in.

Radius: 6 in.

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

A 75.4 in.^3

B 301.6 in.^3

C 402.1 in. ^3

D 100.5 in.^3

1 answer

B 301.6 in.^3

To calculate the volume of a cone, you use the formula: V = (1/3)πr^2h

In this case, r = 6 in, h = 8 in

V = (1/3)π(6^2)(8) = (1/3)(36)(8)π = 96π ≈ 301.6 in^3

Therefore, the closest measurement to the volume of the party hat is 301.6 in^3.
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