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Q.

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


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

answer is A.

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Detailed Solution

The width of the canvas of the tent Question Image . The diameter of the conical tent Question Image  the radius of the conical tent
Question ImageThe 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,
Question Imageit 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
Question ImageSo, 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.
Question ImageSolving for the length of the canvas we get,
Question Image So, the cost of canvas for the total length (l)(l) of the canvas is given by –Question Image Therefore, the cost of the canvas is Rs. 71909.2.
So, option 1 is correct.
 
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