A tent is in the form of a right circular cylinder surmounted by a cone. The diameter of cylinder is 24 m. The height of the cylindrical portion is 11 m while the vertex of the cone is 16 m above the ground. Find the area of canvas required for the tent.

Diameter= 24 m


r =24/2= 12


Height of cylinder, H =1cm


Height of cone, h = 16-11= 5 m


Slant height (l) =



= = 13 m


Surface area of tent = curved surface area of cylinder + curved surface area of cone


= 2rH + πrl


= 2 × (22/7) × 12 × 11 + (22/7) × 12 × 13


= (22/7) × 12 (22 +13)


= (22/7) × 12 × 35


= 1320 m2


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