A paper popcorn cone measures 4 inches in diameter and 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.
Let me restate the given:
Diameter = 4 inches
height = 9 inches
The volume of a cone is formulated as V = (πr²h)/ 3
Since the formula uses a radius and the given is the diameter of a circle, then simply divide the diameter by 2 to get the radius.
r = 2 inches
Solve for volume of cone:
V = [ (3.14) (2)² (9) ] / 3
V = 37.7 in³
The answer is 37.70 in^3.