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The capacity of a closed cylindrical vessel of height 1 m is 15.4 liters. How many square meters of the metal sheet would be needed to make it? |
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Answer» Given, The capacity of a closed cylindrical vessel of height 1 m is 15.4 liters. Height of the cylindrical vessel = 15.4 litres = 0.0154 m3 [1m3 = 1000 litres] Let ‘r’ be the radius of the circular ends of the cylinders, then πr2h = 0.0154 m3 3.14 x r2 x 1 = 0.0154 m3 or r = 0.07 m Again, Total surface area of a vessel = 2πr(r+h) = 2(3.14(0.07)(0.07+1)) m2 = 0.470 m2 |
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