What is the volume of a cone with a diameter of 5in and a height of 9in? Use 3.14 for pi. (1 point) Responses 235.5 cubic inches 235.5 cubic inches 47.1 cubic inches 47.1 cubic inches 423.9 cubic inches 423.9 cubic inches 942 cubic inches
The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius of the base and h is the height.
First, we need to find the radius of the base of the cone. The diameter is 5 inches, so the radius is half of that, which is 2.5 inches.
V = (1/3) * 3.14 * 2.5^2 * 9
V = (1/3) * 3.14 * 6.25 * 9
V = (1/3) * 3.14 * 56.25
V = 3.14 * 18.75
V = 58.875
Therefore, the volume of the cone is approximately 58.875 cubic inches. None of the given options are correct, so we need to round to the nearest whole number, which would be 59 cubic inches.