The circumference of the base of a 10 m height conical tent is 44 metres. Calculate the length of canvas used in making the tent if width of canvas is 2 m. (Use π=22/7).
We have,
Circumference of circular base of cone = 2πr = 44 m
Height (h )= 10 m
= 2××r = 44 = r = 7m
Slant height (l ) = √(102+72) = √149 = 12.20 m
Curved surface area of tent = πrl = 22/7 ×7×12.20 = 268.4 m2
Hence, length of 2m wide canvas needed = 268.4/2 = 134.2 m