Question

a 20 cm long iron pipe has an exterior diameter of 25 cm. if the thickness of the pipe is 1 cm, find the whole surface area of the pipe

Answer 1

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Given;

Height = 20cm.

Exterior Diameter = 25 cm.

=> Exterior Radius = 25/2 cm.

A.T.Q.

Interior Diameter = 25 - 2

=> Interior Diameter = 23cm.

=> Interior Radius = 23/2 cm.

Suppose, Exterior Radius be r1 and Interior radius be r2.

So,

Total Surface Area of pipe

$= > 2\pi \times r \times h( r1+ r2) \: + 2\pi( {r1}^{2} - {r2}^{2}$

=> 2 × 22/7 × 20 ( 12.5 + 11.5) + 2 × 22/7[ (12.5)^2 - (11.5)^2]

=> (44 × 480)/ 7 + (44 × 24)/7

=> 21120/7 + 1056/7

=> 22176/7

=> 3168 cm^2.

Therefore, Total Surface area of pipe is 3168 cm^2.
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