[[1]] of length of canvas

2m
in width in required to make a conical tent [[2]] the cost of the canvass at the rate of

Rs.80
per meter.

Question

[[1]] of length of canvas

2m
   in width in required to make a conical tent [[2]] the cost of the canvass at the rate of

Rs.80
   per meter.

Accepted Answer

Given:The width of the canvas of the tent

w=2 m
  The diameter of the conical tent

d=20 m

r=
      d
      2

r=
      
       20
      2

r=10 m

The slant height of the conical tent

l=42 m
  The cost rate of the canvas

=Rs. 80 per m
  So, the surface area of the conical tent,

⇒A=πr(r+l)

⇒A=
      
       22
      7
     
     ×10×(10+42)

A=1634.3
       m
      2

Also, it is given that only

10%
   This area is allowed for folds and stitching.The area of the canvas allowed for folds and the stitching

A
      
       allow
     
     =10% of 1634.3

A
      
       allow
     
     =
      
       10
      
       100
     
     ×1634.3

A
      
       allow
     
     =163.43 
      m
      2

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.

A
      
       allow
     
     =A+
      A
      
       allow

A
      
       allow
     
     =1634.3+163.43

A
      
       allow
     
     =1797.73 
      m
      2

Now to find the length of the canvas

(l)
  , we know that the total area of the canvas is the product of the length and width of the canvas.So,

A
    
     total
   
   =l×w
  Solving for the length of the canvas we get,

l=

A
        
         total

w

l=
      
       1797.73
      2

l=898.865 m

So, the cost of canvas for the total length

(l)
   of the canvas is given by ,

⇒Cost = Rs. 80 per m × 898.865 m

⇒Cost = Rs. 71909.2

Therefore, the cost of the canvas is

Rs. 71909.2
  .898.865 m of length of canvas  in width in required to make a conical tent the cost of the canvass at the rate of  per meter.

[[1]] of length of canvas $2 m$ in width in required to make a conical tent [[2]] the cost of the canvass at the rate of $Rs .80$ per meter.

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[[1]] of length of canvas 2m in width in required to make a conical tent [[2]] the cost of the canvass at the rate of Rs.80 per meter.