Find (1) the lateral or curved surface area of a closed cylindrical petrol storage tank that is 4.2 m in diameter and 4.5 m high. (ii) how much steel was actually used, if 1by12of the steel actually used was wasted in making the tank.
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4. Which among the following is a Noble Gas?
[A]Nitrogen
[B]Hydrogen
[C]Oxygen
[D]Helium
Helium
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(i)Diameter of a cylindrical(closed) petrol tank=4.2 m
Radius=
2
4.2
=2.1 m
Height=4.5 m
Curved Surface area=2πrh=2×
7
22
×2.1×4.5=59.4sq.m
(ii)Total surface area=2πr(r+h)=2×
7
22
×2.1×(2.1+4.5)=2×
7
22
×2.1×6.6=87.12 sq.m
Let the amount of steel used in making the tank=x
Steel wasted=
12
x
Given:Amount of steel required−Amount of steel wasted=T.S.A of the tank.
⇒x−
12
x
=87.12
⇒
12
12x−x
=87.12
⇒
12
11x
=87.12
⇒x=
11
12
×87.12=95.04sq.m
∴95.04sq.m steel was used in actual while making such a tank.
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