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?
(1 point)
Responses
942 cubic inches
235.5 cubic inches
47.1 cubic inches
423.9 cubic inches
To find the volume of a cone, we can use the formula V = (1/3) * π * r^2 * h, where r is the base radius and h is the height or the perpendicular distance from the apex to the base.
In this case, the base radius is given as 9 inches, and the height is given as 5 inches. We can substitute these values into the formula to calculate the volume:
V = (1/3) * π * (9^2) * 5
= (1/3) * π * 81 * 5
= (1/3) * π * 405
≈ 423.9 cubic inches
Therefore, the volume of the cone is approximately 423.9 cubic inches.