A paper popcorn cone measures 4 inches in diameter and is 9 inches high. What is the volume of popcorn that can be contained within this cone? Use 3.14 for pi. Round your answer to the nearest hundredth.
37.68 cubic inches
39.45 cubic inches
40.23 cubic inches
41.90 cubic inches
To find the volume of the popcorn cone, we can use the formula for the volume of a cone:
V = (π * r^2 * h) / 3
where V is the volume, π is pi (3.14), r is the radius, and h is the height.
First, we need to find the radius of the cone by dividing the diameter by 2:
r = 4 inches / 2 = 2 inches
Now we can substitute the values into the formula:
V = (3.14 * 2^2 * 9) / 3
V = (3.14 * 4 * 9) / 3
V = 113.04 / 3
V ≈ 37.68 cubic inches
Therefore, the volume of popcorn that can be contained within this cone is approximately 37.68 cubic inches.