se 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
423.9 cubic inches
423.9 cubic inches
235.5 cubic inches
235.5 cubic inches
47.1 cubic inches
47.1 cubic inches
942 cubic inches
To find the volume of the cone, we can use the formula:
V = (1/3) * pi * r^2 * h
Given that the base radius is 9 inches and the perpendicular height is 5 inches, we can substitute these values into the formula:
V = (1/3) * 3.14 * 9^2 * 5
Simplifying the equation:
V = (1/3) * 3.14 * 81 * 5
V = 3.14 * 81 * 5/3
V = 254.34 cubic inches
Therefore, the volume of the cone is approximately 254.34 cubic inches.