6. 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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Answer:
height of the cylinder =1m
capacity of the cylinder=volume of the cylinder=15.4 litres
=15400 cubic cm
=0.0154 m sq.
so,r2h=0.0154 m sq.
22/7*r2*1=0.0154
r2=0.0154*7/22
r2=0.0049
r=0.07
so the total surface area =2rh+2r2
=2r(r+h)
=2*22/7*0.07(0.07+1)
=0.44*1.07
=0.4708 m sq.
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