Find what length of canvas in width in required to make a conical tent in diameter and in slant height allowing for folds and the stitching. Also find the cost of the canvass at the rate of per meter.

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answer is A.

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Detailed Solution

The width of the canvas of the tent

. The diameter of the conical tent

the radius of the conical tent
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The slant height of the conical tent l=42 m The cost rate of the canvas =Rs. 80 per m
Since the tent is in conical shape, the area of the tent is equal to the curved surface area for the cone.
So, the surface area of the conical tent,
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it is given that only 10% of this area is allowed for folds and the stitching.
The area of the canvas allowed for folds and the stitching
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So, the total canvas required is the sum of the surface area of the conical tent and the area of the canvas allowed for folds and the stitching.
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Solving for the length of the canvas we get,
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So, the cost of canvas for the total length (l)(l) of the canvas is given by –

Therefore, the cost of the canvas is Rs. 71909.2.
So, option 1 is correct.

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