A tent of height 77 dm is in the form of a right circular cylinder of diameter 36 m and height 44 dm surmounted by a right circular cone. Find the cost of the canvas at Rs. 3.50 per m2 .

Given: height of the tent, H = 77dm = 7.7 m


Height of the cylindrical portion, h = 44dm = 4.4m


Height of the conical portion, h’ = 7.7 – 4.4 = 3.3 m


Radius of the cylinder, r = 36/2 = 18m


Curved surface area of the cylindrical portion of the tent = 2 π r2 h


= 2 × π × (18)2 × 4.4


= 158.4 π m2


Slant height of the conical portion of the tent =


= 18.3 m


Curved surface area of the conical portion = π × 18 × 18.3


= 329.4 π m2


Total surface area of the tent = 158.4 π + 329.4 π


= 487.8 π


= 1533.09 m2


Canvas required to make the tent = 1533.09 m2


Total cost of the canvas = 1533.09 × 3.50


= Rs5365.80


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