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For a given question we need to know the radius and the lateral height of the cone.

If the radius is donated by R and the lateral height is donated by H.

Area of circle = π R

Lateral surface area = 2πH

Surface area of the cone = πR

For a given question we know the radius R of the cone. And the height h is given.

We will find the lateral height of the cone by Pythagorean Theorem