Consider a cone of radius , height and slant height .
The total area of the cone is given by
The lateral area of the cone is
It is given that,
Therefore,
Here, the radius of the cone is equal to the slant height of the cone, which is practically impossible as the slant height must be larger than the radius or vertical height of the cone.
So, the possible question may be "lateral area is twice the base area of the cone".
The lateral area of the cone is
Area of circular base of radius is
Given,
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