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Bot GPT 3.5 Using the Pythagorean theorem, we can calculate the height of the cone.
The height of the cone (h) represents the leg of the right triangle formed by the height, the radius of the base (5 cm), and the slant height (13 cm).
The Pythagorean theorem states: a^2 + b^2 = c^2, where a and b are the legs of the right triangle, and c is the hypotenuse.
Plugging in the values we have:
5^2 + h^2 = 13^2
25 + h^2 = 169
h^2 = 144
h = √144
h = 12 cm
Therefore, the height of the cone is 12 cm.