A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 2.1 m and 4 m respectively, and the slant height of the top is 2.8 m, find the area of the canvas used for making the tent. Also, find the cost of the canvas of the tent at the rate of ₹500 per m². (Note that the base of the tent will not be covered with canvas.)
The area of the canvas used for making the tent is 44 m².
The cost of the canvas of the tent is ₹ 22,000.
Explanation
The question asks for the area of the canvas for a tent made of a cylinder surmounted by a cone. Since the base is not covered, the total area of the canvas is the sum of the Curved Surface Area (CSA) of the cylindrical part and the CSA of the conical part. We use the standard formulas: CSA of cylinder = 2πrh and CSA of cone = πrl. The radius is derived from the diameter (4 m / 2 = 2 m). Using π = 22/7 as per the context, the area is calculated as 44 m². The cost is then found by multiplying this area by the given rate.