# Find the Lateral Curved Surface Area of a Cylinderical Petrol Storage Tank that is 4.2 M In Diameter and 4.5 M High. How Much Steel Was Actually Used, If 1/12 Of Steel Actually Used Was Wasted in - Mathematics

Find the lateral curved surface area of a cylinderical petrol storage tank that is 4.2 m in diameter and 4.5 m high. How much steel was actually used, if 1/12 of steel actually used was wasted in making the closed tank?

#### Solution

Height (h) cylindrical tank=4.5m

Radius (r) of circular end of cylindrical tank = 4.2/2m=2.1 m

(1) Lateral or curved surface area of tank = 2pirh

⇒ 2xx3.14xx2.1xx4.5m^2

= 59.4m^2

(2) Total surface area of tank = 2pir(r+h)

⇒ 2[22/7]xx2.1(2.1+4.5)m^2

= 87.12m^2

Let  A  m^2 steel sheet be actually used in making the tank

∴ A(1-1/12)=87.12m^2

⇒ A= (12/pixx87.12)m^2

⇒ A=95.04m^2

Thus,  95.04m^2 steel was used in actual while making the tank.

Concept: Surface Area of Cylinder
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#### APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 19 Surface Areas and Volume of a Circular Cylinder
Exercise 19.1 | Q 14 | Page 9

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