Question

What length of tarpaulin 3m wide will be required to make conical tent of height 1 metre and base radius 6m assuming that the extra length of material that would be required for stitching margins and wastage in cutting is approximately 20 cm take pi 3.14?

Answer 1

Q: What length of tarpaulin 3 m wide will be required to make conical tent of height 8 metre and base radius 6 m assuming that the extra length of material that would be required for stitching margins and wastage in cutting is approximately 20 cm.

Solution :-

Given : Breadth of tarpaulin = 3 m

Find the length of the tarpaulin to make conical tent of height 8 m and base radius 6 m :

Slant height (l) = √(h² + r²)

= √(8² + 6²)

= √(64 + 36)

= √100 = 10

Here,

Area of tarpaulin = Curved surface area of tent

=> (Length × Breadth) = πrl

=> Length = (22 × 6 × 10)/(3 × 7) = 62.8

Total length = Length + Margin

= 62.8 + 0.2

= 63 m

Hence,

Length of tarpaulin = 63 m