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

Answer 1

[AI-generated answer — Bot 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.