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