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Question 110

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?


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Solution

Height of cylindrical vessel = 1m
Capacity of the cylindrical vessel = 15.4 L
In metre cube =15.41000=.0154 m3 [1m3=1000L]
Volume of a cylinder =πr2h
227×r2×1=0.0154r2=0.01543.14=0.0049r=0.0049=0.07 m
Metal of sheet required =2πrh=2×227×0.07×1=0.4396=0.44 m2


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