Question
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.
Answers
GPT 3.5
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 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.