Final answer:
To calculate the volume of a cone with a diameter of 6 inches and a height of 8 inches, use the radius which is 3 inches and apply the formula V = 1/3πr²h, resulting in a volume of 226.08 cubic inches.
Step-by-step explanation:
The subject's question is about finding the volume of a cone with a given diameter and height. The formula to calculate the volume of a cone is V = ⅓πr²h. Given that the diameter is 6 inches, the radius (r) is half of that, which is 3 inches. Using 3.14 for π (pi), and the given height (h) of 8 inches, we can substitute these values into the formula to find the volume.
So, the calculation is:
Find the radius (r) by dividing the diameter by 2, r = 3 inches.
Substitute r and h into the volume formula: V = ⅓πr²h = ⅓(3.14)(3 inches)²(8 inches).
Calculate the square of the radius (3 inches)² = 9 inches².
Multiply the area with height and π: V = ⅓(3.14)(9 inches²)(8 inches) = 226.08 cubic inches.
Therefore, the volume of the cone is 226.08 cubic inches.