the slant height is always 2 units bigger then the height
I'm going to improve your answer:Since I don't know how, I would ask my math teacher how. I have a prolem for homework where it wants me to find it with out the Lateral Area or the entire surface...
The height would be The square root of the square of the slant surface length minus the square of the radius of the cone at the base.
Assuming it is a right cone, use Pythagoras - slant height = hypotenuse, other two sides = radius of base, and height.
By means of Pythagoras' theorem providing you are given the radius and perpendicular height of the cone
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