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
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.