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30/07/2021 10:31 am
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The capacity of a closed cylindrical vessel of height 1m is 15.4 liters. How many square meters of metal sheet would be needed to make it? (Assume π = 22/7)
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30/07/2021 10:33 am
Height of cylindrical vessel, h = 1 m
Capacity of cylindrical vessel = 15.4 litres
= 0.0154 m3
Let r be the radius of the circular end.
Capacity of cylindrical vessel = (22/7) × r2 × 1
= 0.0154
After simplifying, we get, r = 0.07 m
Again, total surface area of vessel = 2πr(r+h)
= 2 × 22/7 × 0.07(0.07 + 1)
= 0.44 × 1.07
= 0.4708
Total surface area of vessel is 0.4708 m2
Therefore, 0.4708 m2 of the metal sheet would be required to make the cylindrical vessel.