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.
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
1 answer