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प्रश्न
The capacity of a closed cylindrical vessel of height 1 m is 15.4 L. How many square metres of metal sheet would be needed to make it?
उत्तर
Height of cylindrical vessel = 1 m
Capacity of the cylindrical vessel = 15.4 L
In metre cube = `15.4/1000` = 0.0154 m3 ...[∵ 1 m3 = 1000 L]
Volume of a cylinder = πr2h
⇒ `22/7 xx r^2 xx 1 = 0.0154`
⇒ `r^2 = 0.0154/3.14 = 0.0049`
⇒ `r = sqrt(0.0049) = 0.07 m`
∴ Metal of sheet required = 2πrh
= `2 xx 22/7 xx 0.07 xx 1`
= 0.4396
= 0.44 m2
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