Q6 of 48 Page 261

The radius of a conical tent is 4 m and slant height is 5 m. How many meters of canvas of width 125 cm will be used to prepare 12 tents? If the cost of canvas is Rs. 20 per meter, then what is total cost of 12 tents (π = 3.14)

Given.


Radius of conical tent is 4 m


Slant height of conical tent is 5m


Formula used/Theory.


CSA of cone = πrl


⇒ As the conical tent is not on ground


∴ only CSA is required to construct the tent


CSA of conical tents = 3.14 × 5 × 4


= 62.8 m2


Let length of cloth be x cm


∴ Area of Cloth = 1.25 × x m2


If 12 tents are to be constructed


Then area of cloth required to make 12 conical tents is


12 × 62.8 m2


= 753.6 m2


1.25 m × x m = 753.6 m2


x = = 602.88 m


If 1m length of canvas cost Rs. 20


Then 602.88 m length of canvas cost Rs. 20 × 602.88


= Rs. 12056.7


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