The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. How many square metres of metal sheet would be needed to make it?

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The capacity of a closed cylindrical vessel of height 1 m is 15.4 litres. How many square metres of metal sheet would be needed to make it?


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Salim Ahmed Kawsar

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Here, h = 1 m, volume = 15.4 litres 

= 15.4/ 1000 m3 = 0.0154 m3 

Also, volume of the cylinderical vessel = π r2h 

⇒ 0.0154 = 22/ 7 × r2 × 1 

⇒ r2 = 0.0154 × 7/ 22 = 0.0049

⇒ r = 0.07 m 

∴ Total surface area of the cylinder = 2πr (h + r) 

= 2 × 22/ 7 × 0.07 (1 + 0.07) m2 

= 44 × 0.01 × 1.07 m2 = 0.4708 m2 

Hence, 0.4708 m2 of metal sheet would be needed Ans.

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