Acardboard popcorn container is shaped like a cone that is 11 inches high and has a radius of 2.5 inches. what is the volume of the container? use 3.14 for pi. round your answer to the nearest hundredth. 27.53 in3 40.35 in3 46.07 in3 71.96 in3

71.96 in^3 is the answer.

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi