Use the image to answer the question.
An oblique cone shows a base radius of 9 inches. The perpendicular height is 5 inches from the apex to the base outside the cone. A right angle is formed outside the cone to the right. A dashed diagonal line connects the center of the circular base to the apex.
What is the volume of the cone? Use 3.14 for pi.
(1 point)
Responses
942 cubic inches
942 cubic inches
423.9 cubic inches
423.9 cubic inches
47.1 cubic inches
47.1 cubic inches
235.5 cubic inches
235.5 cubic inches
We can use the formula for the volume of a cone: V = 1/3 * π * r^2 * h, where r is the base radius and h is the perpendicular height.
Given that the base radius is 9 inches and the perpendicular height is 5 inches, we can plug these values into the formula:
V = 1/3 * 3.14 * 9^2 * 5
V = 1/3 * 3.14 * 81 * 5
V = 3.14 * 27 * 5
V = 423.9 cubic inches
So, the volume of the cone is 423.9 cubic inches. Therefore, the correct answer is:
423.9 cubic inches