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in Surface Areas And Volumes by (65.2k points)

Find 

(i) 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 of the steel actually used was wasted in making the tank.

1 Answer

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Best answer

(i) Petrol tank is in the form of cylinder. 

Diameter, d = 4.2 m

h = 4.5 m 

TSA of petrol tank = 2πr(r + h)

= 44 × 0.3 × 6.6 

= 87.12 m

(ii) ∴ Area of iron required for manufacturing tanker = 87.12 m2

If iron used is 1 sq. m then there is a loss of \(\frac{1}{12}\)

Iron required except loss = 1 - \(\frac{1}{12}\) 

= \(\frac{11}{12}\)m2

Area of \(\frac{11}{12}\)m2 is 87.12 m2

Area of 1 m2 … ? … 

= 1 x 87.12 x \(\frac{12}{11}\)

= 95.04 m2 .

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