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.

3 answers

To find the volume of a cone, you can use the formula:

V = (1/3) * π * r^2 * h

where:
V = volume of the cone
π ≈ 3.14
r = base radius of the cone
h = perpendicular height of the cone

In this case:
r = 9 inches
h = 5 inches

V = (1/3) * 3.14 * 9^2 * 5
V = (1/3) * 3.14 * 81 * 5
V = (1/3) * 3.14 * 405
V = 3.14 * 135
V = 424.5 cubic inches

Therefore, the volume of the cone is 424.5 cubic inches.
This is not correct there's an error
Apologies for the mistake in my previous response. Let's recalculate the volume of the cone using the correct formula:

V = (1/3) * π * r^2 * h

Given:
r = 9 inches
h = 5 inches

V = (1/3) * 3.14 * 9^2 * 5
V = (1/3) * 3.14 * 81 * 5
V = (1/3) * 3.14 * 405
V = (1/3) * 1271.7
V = 423.9 cubic inches

Therefore, the correct volume of the cone is 423.9 cubic inches. Thank you for bringing this to my attention.