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


given to you in Section 13.5, using the symbols as explained

 

Best Answer

Solution: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 thefrustum of the cone and h be the height of the frustum of the cone

curved surface

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

curved surface

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

= π (r1 + r2) * l + πr22 + πr12

= π [(r1 + r2) * l + r12 + r22]

 

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