The capacity of a closed cylindrical vessel of h 1 m is 15.4 litre how many sqm of metal sheet would be needed to make it
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Answered by
338
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.
Answered by
151
Height of cylinder = 1m = 100 cm
Volume of cylinder = 15.4 liters
= 15400 cm^3
=> pi *r^2 *h = 15400
=> 22*100 * r^2 /7 = 15400
=> r^2 = 15400 * 7 / 2200
=> r ^2 = 7 * 7
=> Radius of cylinder = 7 cm
Since it is a tank , So it's upper part is opened
Metal sheet Required to make the tank = CSA of cylinder + Area of base
=> 2*pi *r*h + pi *r ^2
=> 2 * 22 *7 * 100 / 7 + 22*7 * 7/7
=> 4400 + 154
=> 4554 cm^2
Volume of cylinder = 15.4 liters
= 15400 cm^3
=> pi *r^2 *h = 15400
=> 22*100 * r^2 /7 = 15400
=> r^2 = 15400 * 7 / 2200
=> r ^2 = 7 * 7
=> Radius of cylinder = 7 cm
Since it is a tank , So it's upper part is opened
Metal sheet Required to make the tank = CSA of cylinder + Area of base
=> 2*pi *r*h + pi *r ^2
=> 2 * 22 *7 * 100 / 7 + 22*7 * 7/7
=> 4400 + 154
=> 4554 cm^2
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