Q3 of 67 Page 193

The diameter of the base of a cone is 14 m and its slant height is 25 m. Find the total surface area of the cone.

Diameter of base = 14 m


⇒ radius of base = r = = 7 m


Let h be the height of cone


Slant height = l = 25 m


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


⇒ total surface area = πrl + πr2


= πr(l + r)


= × 7 × (25 + 7)


= 22 × 32


= 704 m2


Therefore, total surface area of the cone is 704 m2


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