NCERT Solution Class X Mathematics Surface Areas and Volumes Question 5 (Ex 13.5)

Question 5:

Derive the formula for the curved surface area and total surface area of the frustum of cone.

Answer:

Let ABC be a cone. A frustum DECB is cut by a plane parallel to its base. Let r1 and r2 be the radii of the ends of the frustum of the cone and h be the height of the frustum of the cone.

CSA of frustum DECB = CSA of cone ABC − CSA cone ADE

Total surface area of frustum = CSA of frustum + Area of upper circular end + Area of lower circular end

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