Question

the capacity of a closed cylindrical vessel of height 84cm is 26.4litres how many square metres of metal is required to make seven such vessels (take π=22/7)​

Answer 1

Answer:

41332.4 cm^2

Step-by-step explanation:

Volume of cylinder = πr²h

Capacity of cylinder = 26.4 l

1 liter = 1000 cm³

So, 26.4 l = 26.4 × 1000 cm³

= 26400 cm³

πr² × 84 cm = 26400 cm³

πr² = 26400/84 cm³

πr² = 314 cm² ( approximately )

r² = 314/3.14

r = √100 cm = 10 cm

Now, total surface area of a cylinder

= 2πrh + 2πr²

= 2πr( h + r )

= 2 × 3.14 × 10 cm( 84 + 10 ) cm

= 62.8 cm × 94 cm

= 5903.2 cm²

Such 7 vessels are needed so,

= 5903.2 × 7 cm²

= 41332.4 cm²

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