2. 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.
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Step-by-step explanation:
Radius of the cone = 52.5m
Height of the cylinder = 3m
Slant height of the cone = 53m
Area of the canvas = curved surface area of cone + curved surface area of cylinder
= πrl + 2πrh ( Remember this l here means the slant height)
= πr ( l + 2h)
= 22/7 X 52.5 ( 53 + 2 X 3 )
= 22 X 7.5 ( 53 + 6 )
= 165 X 59
= 9735 m²
Hence, the area of the canvas needed to make the tent is 9735 m²
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