IM NOT SURE!!!!!!!!!!!!! i want to know the same thing but knobody is answering it.......... haha u probably thought iwas going to tell you how!!.
the slant height is always 2 units bigger then the height
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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