At a party, a coned shape hat is filled with jelly beans. the hat has a diameter of 25.4 centimeters and a height of 18 centimeters. if each jelly bean has a volume of 3.5 cubic centimeters, then how many jelly beans will fit inside the cone shaped hat?

Answer 1

First, calculate the volume of the cone hat using the formula for the volume of a cone:

V = 1/3 * π * r^2 * h

Where V is the volume, r is the radius (half of the diameter), and h is the height.

r = 25.4 cm / 2 = 12.7 cm

V = 1/3 * π * (12.7 cm)^2 * 18 cm
V = 1/3 * π * 161.29 cm^2 * 18 cm
V = 1/3 * 2893.22 cm^3
V = 964.407 cm^3

Now, divide the volume of the cone hat by the volume of each jelly bean to find how many jelly beans will fit inside:

Number of jelly beans = 964.407 cm^3 / 3.5 cm^3
Number of jelly beans ≈ 275.83

Therefore, approximately 275 jelly beans will fit inside the cone-shaped hat.