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. what is the volume of the cone shaped hat?
To find the volume of a cone, you can use the formula:
V = (1/3)πr^2h
Where:
V = volume
π = pi (approximately 3.14159)
r = radius
h = height
First, we need to find the radius of the cone. The radius is half the diameter, so:
r = 25.4 cm / 2 = 12.7 cm
Now we can plug in the values into the formula:
V = (1/3) * 3.14159 * (12.7 cm)^2 * 18 cm
V = (1/3) * 3.14159 * 161.29 cm^2 * 18 cm
V = (1/3) * 507.46 cm^2 * 18 cm
V = (1/3) * 9134.28 cm^3
V ≈ 3044.76 cm^3
So, the volume of the cone-shaped hat filled with jelly beans is approximately 3044.76 cubic centimeters.