Question
If you knew that the slant height of the cone = 13 cm, and the radius of the cone = 5 cm, how would you find the height of the cone
Answers
GPT 3.5
To find the height of the cone, you can use the Pythagorean theorem. The slant height of the cone cuts through the cone creating a right triangle with the height, radius, and slant height.
Using the Pythagorean theorem, we can set up the following equation:
(Height)^2 + (Radius)^2 = (Slant height)^2
Let h be the height of the cone:
h^2 + 5^2 = 13^2
h^2 + 25 = 169
h^2 = 144
h = 12
Therefore, the height of the cone is 12 cm.
Using the Pythagorean theorem, we can set up the following equation:
(Height)^2 + (Radius)^2 = (Slant height)^2
Let h be the height of the cone:
h^2 + 5^2 = 13^2
h^2 + 25 = 169
h^2 = 144
h = 12
Therefore, the height of the cone is 12 cm.