Question

What length of trapaulin 3 m wide will be required to make conical tent of height 8 m and and base radius 6m? assume that the extra length of material that will be required for stiching margins and wastage in cutting is approximately 20 cm.

Answer 1

HEY!!

Given, height of conical tent = 8 m

and radius of tent = 6 m

Now, slant height of tent

∴ Curved surface area of tent =

Given, breadth of tarpaulin sheet = 3 m

Let the length of tarpaulin sheet required will be equal to x m.

It is given that 20 cm (or 0.2 m) length of material is wasted in stitching margins and cutting.

∴ effective length of tarpaulin sheet = (x - 0.2) m

It is quite clear that, area of sheet = curved surface area of tent

⇒(x- 0.2) × 3 = 188.4

⇒(x- 0.2) = 62.8

⇒x = 62.8 + 0.2 = 63 m

Hence, the tarpaulin sheet of 63 m length will be required to make conical height of given dimensions.

Answer 2

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