What length of tarpaulin 3 m wide will be required to make conical tent of height & m and base radius 6 m? Assume that the extra length of material that will be required to (11) cost of the canvas required to make the tent, if the cost of 1 m canvas is Rs 70. stitching margins and wastage in cutting is approximately 20 cm (Use 3.15).
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Answer:
63m
Step-by-step explanation:
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.
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