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Why do you need to FIND the slant height if you have the [lateral height and] slant height?
the slant height of a right circular cone is the distance from any point on the circle to the apex of the cone . The slant height of a cone is given by the formula ,√r2+h2 where r is the radius of the circle and h is the height from the center of the circle to the apex of the cone.
The answer is squareroot r2+h2 squareroot radiusxradius + heightxheight
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