Q.

The capacity of a closed cylindrical vessel of height 1m is15.4 liters. How many square meters of metal sheet would be needed to make it? (Assume π = 22/7)

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answer is 0.4708.

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Detailed Solution

Given: Height, h = 1 m and capacity of cylindrical vessel = 15.4 litres = 0.0154 m3

1st we need to find the radius of the vessel, we know that formula of volume of cylinder = πr2h

Using the above values,

 (22/7) × r2 × 1 = 0.0154

r = 0.07 m

We know that, the total surface area of the vessel = 2πr(r+h)

= 2 × 22/7 × 0.07(0.07 + 1)

= 0.44×1.07

= 0.4708

The total surface area of the vessel is 0.4708 m2

 


 

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