A circus tent is cylindrical to a height of 3 m and conical above it. If its base radius is 52.5 m and the slant height of the conical portion is 53 m, find the area of canvas needed to make the tent. [Take π = 22/7.]
The Circus tent is made as a combination of cylinder and cone on top.
Height of cylindrical part of tent = h = 3 m
Base radius of tent = r = 52.5 m
Area of canvas required for cylindrical part of tent = 2πrh
= 2 × 22/7 × 52.5 × 3 m2
= 990 m2
Slant height of cone = l = 53 m
Area of canvas required for conical part of the tent = πrl
= 22/7 × 52.5 × 53 m2
= 8745 m2
Area of canvas required to make the tent = Area of canvas required for cylindrical part of tent + Area of canvas required for conical part of tent
Area of canvas required to make the tent = 990 + 8745 m2 = 9735 m2