A tent of height 77 dm is in the form of 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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Cost of canvas = Rs. 10870.20
Step-by-step explanation:
Tent has cylinder + cone of total height = 77 dm = 7.7m
Cylinder height = 44 dm and radius = 36/2 = 18 m
Cone radius = 18 m, height = 77-44 = 3.3 m
Slant height of the cone = root of (r² + h²) = root (18² + 3.3²) = root of 334.89 = 18.3m
Outer Surface area of cone = πrl = 22/7 * 18.3 * 18 = 1035.26 sq.m.
Outer Surface area of cylinder = 2πrh = 2 * 22/7 * 18 * 18.3 = 2070.51 sq.m
Surface area of tent = 2070.51 + 1035.26 = 3105.77 sq. m
Cost of canvas = 3.50 * 3105.77 = Rs. 10870.20
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