Answer :

The tent is made as a combination of right circular cylinder and right circular cone on top.


Height of cylindrical part of the tent = h = 3 m


Radius of its base = r = 14 m


Curved surface area of cylindrical part of tent = 2πrh


= 2 × 22/7 × 14 × 3 m2


= 264 m2


Total height of the tent = 13.5 m


Height of conical part of the tent = total height of tent – height of cylindrical part.


Height of conical part of the tent = 13.5 – 3 m =10.5 m


Let the slant height of the conical part be l


l2 = hcone2 + r2


l2 = 10.52 + 142 = 110.25 + 196 m2 = 306.25 m2


l = 17.5 m


Curved surface area of conical part of tent = πrl


= 22/7 × 14 × 17.5 m2


= 770 m2


Total surface area of tent = Curved surface area of cylindrical part of tent + Curved surface area of conical part of tent


Total Surface area of tent = 264 m2 + 770 m2 = 1034 m2


Cloth required = Total Surface area of tent = 1034 m2


Cost of cloth = Rs 80/m2


Total cost of cloth required = Total surface area of tent × Cost of cloth


= 1034 × Rs 80


= Rs 82720


Cost of cloth required to make the tent is Rs 82720


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