what length of tarpaulin 2 m wide will be required to make a conical tent of height 12 m and base radius 5 m ? Assume that the extra length of material that will be required for stitching margins and wastage in cutting is 95 cm. (use it = 3.14)
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Answer:
Given a conical tent with
Height ( h ) = 8m
Radius ( r ) = 6m
So, its length = l2 = h2 + r2
= l2 = ( 8 )2m + ( 6 )m2
= l2 = 64m + 36m
= l2 = 100m
= l = 10m
Curved surface area of the cone = TTrl
= 3.14 x 6m x 10m
= 188.4 cm2
The extra length of material that will be required for stiching margins and wastages in cutting is approx 20 cm = 0.2m
So, its length = l - 0.2m
and its width = 3m
area of sheet = CSA of tent
so the area of the trapaulln = l x b
= ( l - 0.2m ) x 3m = 188.4m2
= l - 0.2m = 62.8m2
= l = 63m
Therefore, length of the trapaulin sheet required is 63m.
Step-by-step explanation:
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