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.

Answer 1

The volume of a cone can be calculated using the formula V = 1/3 * π * r^2 * h, where r is the radius of the base and h is the height.

In this case, the radius of the base is given as 9 inches and the height is given as 5 inches.

Plugging these values into the formula, we get:
V = 1/3 * 3.14 * (9 inches)^2 * 5 inches
V = 1/3 * 3.14 * 81 square inches * 5 inches
V = 1/3 * 3.14 * 405 square inches

Calculating, we find:
V = 1/3 * 3.14 * 405 square inches
V ≈ 1/3 * 3.14 * 405
V ≈ 1/3 * 1273.7
V ≈ 424.57 cubic inches

Therefore, the volume of the cone is approximately 424.57 cubic inches.