Q1 of 48 Page 270

A tent is in the shape of cylinder surmounted by a conical top. If the height and the radius of the cylindrical part are 3.5 m and 2 m respectively and the slant height of the top is 3.5 m, find the area of the canvas used for making the tent. Also find the cost of canvas of the tent at the rate of Rs. 1000 per m2.


Given.


Radius of cylinder and cone is 2 m


Height of cylinder is 3.5 m


Slant height of cone is 3.5 m


Formula used/Theory.


CSA of cylinder = 2πrh


CSA of cone = πrl


CSA of cylinder = 2πrh


= 2 × × 3.5 m × 2 m


= 44 m2


CSA of cone = πrl


= × 2 m × 3.5 m


= 22 m2


Total Area of cloth = 44 m2 + 22 m2


= 66 m2


Rate of cloth for 1 m2 = Rs. 1000


Rate of cloth for 66 m2 = Rs. 1000 × 66


= Rs. 66000


Cost of canvas is Rs. 66000


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1

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