Q4 of 67 Page 193

Radius of the base of a cone is 14 cm and its slant height is 50 cm. Find the curved surface area and the total surface area of the cone.

Radius of base of cone = r = 14 cm


Slant height = l = 50 cm


Curved surface area of cone = πrl


= × 14 × 50


= 22 × 2 × 50


= 2200 cm2


Total surface area of cone = curved surface area of cone + base area of cone


⇒ total surface area = 4400 + πr2


= 4400 + × 14 × 14


= 2200 + 22 × 2 × 14


= 2816 cm2


Therefore, curved surface area is 2200 cm2 and total surface area is 2816 cm2


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