question number 8
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The circumference of the base of a 10 m height conical tent is 47.14 metres. Calculate the length of canvas used in making the tent if width of canvas is 1.5 m. (Use π=3.14).
We have,
Circumference of the circular base of the cone = 2πr = 47.14 m.
Height (h) = 10 m.
2×3.14×r= 47.14
6.28r=47.14
r=47.1/6.28
r= 7.5 m.
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Slant height(l)= √(10^2+7.5^2)=√150 = 12.24 m
Curved surface area of tent = πrl = 3.14×7.5×12.24
=288.25m^2
Hence ,the length of 1.5 m wide canvas deeded
= 288.25/1.5
=192.16m.
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