The diameter of a cone is 14 inches and the height of the cone is 22 inches. Find the slant height of the cone to the nearest tenth of an inch.

1 answer

To find the slant height of the cone, we can use the Pythagorean theorem.

The radius of the cone (half of the diameter) is 7 inches.

Let's call the slant height "s".

Using the Pythagorean theorem in the triangle formed by the slant height, height, and radius of the cone, we have:

s^2 = 7^2 + 22^2
s^2 = 49 + 484
s^2 = 533
s = sqrt(533)
s ≈ 23.1 inches

Therefore, the slant height of the cone is approximately 23.1 inches.