A circus tent is cylindrical to a height of 3 meters and conical above it. If its diameter is 105 m and the slant height of the conical portion is 53 m, calculate the length of the canvas 5 m wide to make the required tent.

Given,


Cylindrical height of the tent = 3m


Diameter of the base of the cone = 105


Radius =


Height of the conical portion = 53m


Area of canvas = curved surface area of conical part + curved surface area of cylindrical part


= πrl + 2πrh



= 8745 + 990


= 9735m2


Length of canvas = area/width



Hence the length of the canvas will be 1947m


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