1. A tent is to be built in the form of a cylinder of radius 5 m surmounted by a cone of the same radius. If the height of the cylindrical part is 6 m and slant height of the conical part is 10 m, how much canvas will be required to build the tent? Allow 20% extra canvas for folding and stitching. (Take π = 22/7)
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By: anil on 05 May 2019 02.14 am
Radius of cone = Radius of cylinder = r = 5 m Height of cylinder = h = 6 m Slant height of cone = l = 10 m Canvas required = Curved surface area of cylinder + Curved surface area of cone = $$2 pi r h + pi r l = (pi r) (2 h + l)$$ = $$(frac{22}{7} imes 5) (2 imes 6 + 10)$$ = $$frac{110}{7} imes 22 = 345.71$$ $$m^2$$ Also, 20% extra canvas is required for folding and stitching $$ herefore$$ Total canvas required = $$frac{120}{100} imes 345.71$$ = $$1.2 imes 345.71 approx 414.86$$ $$m^2$$ => Ans - (B)
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