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)
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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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