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Step-by-step explanation:

A right circular cone has slant height, base radius and height.

Consider the right triangle

with slant height as hypotenuse, radius as one leg and altitude as one leg.

Let l be the slant height, r the radius and h the height.

Using Pythagorean theorem,

If r is fixed we have whenever h increases l increases and vice versa.

Thus we have

slant height is related to height positively.