Mensuration-39

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Find what length of canvas 2 meters in width is required to make a conical tent 12 meters in diameter and 6.3 meters in slant height. Also, find the cost of the canvas at the rate of $ 12.50 per meter.

Solution: r = 1/2 (12) = 6 m and l = 6.3 m

Therefore, Area of canvas required = Surface area of the conical tent

= Π r l = 22 / 7 x 6 x 6.3 m² = 22 / 7 x 6 x 63 / 10 = 22 / 7 x 6 x 63 / 10 = 1188 / 10 m²

Therefore, width of the canvas = 12 m

Therefore, Length of the canvas = 1188 / 10 x 1 / 12 = 9.9 m

Therefore, Cost of 1 meter canvas = $ 12.50

Therefore, Cost of 9.9 m = $ (12.50 x 9.9) = $ 123.75