A tent of height 77 dm is in the form a right circular cylinder of diameter 36 m and height 44 dm surmounted by a right circular cone. Find the cost of the canvas at Rs 3.50 per m². [Use π = 22/7]

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Solution

The height of the tent is 77dm = 7.7m. The height of the upper portion of the tent is
44dm = 4.4m. Therefore, the height of the cylindrical part isdm = 3.3m. The radius of the cylindrical part is m.

Let the slant height of the cone part is l m. Then, we have

Therefore, the slant height of the cone part is 18.3 m.

The curved surface area of the cylindrical part is

The curved surface area of the cone part is

Therefore, the total curved surface area of the tent is

The cost of canvas per m² is Rs 3.50. Hence, the total cost for canvas in Rs is

Hence total cost is

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A tent of height 77 dm is in the form a right circular cylinder of diameter 36 m and height 44 dm surmounted by a right circular cone. Find the cost of the canvas at Rs 3.50 per m2. [Use π = 22/7]

A tent of height 77 dm is in the form a right circular cylinder of diameter 36 m and height 44 dm surmounted by a right circular cone. Find the cost of the canvas at Rs 3.50 per m². [Use π = 22/7]